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Billingsley dimension in probability spaces / / Helmut Cajar
| Billingsley dimension in probability spaces / / Helmut Cajar |
| Autore | Cajar Helmut |
| Edizione | [1st ed. 1981.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1981] |
| Descrizione fisica | 1 online resource (III, 109 p.) |
| Disciplina | 512.76 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Probabilistic number theory
Dimension theory (Algebra) |
| ISBN | 3-540-38638-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466496203316 |
Cajar Helmut
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1981] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Billingsley dimension in probability spaces / Helmut Cajar
| Billingsley dimension in probability spaces / Helmut Cajar |
| Autore | Cajar, Helmut |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1981 |
| Descrizione fisica | 104 p. ; 25 cm. |
| Disciplina | 512.42 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 892 |
| Soggetto topico |
Dimension theory
Markov chains with discrete parameter Measure-theoretic ergodic theory Probabilistic number theory |
| ISBN | 3540111646 |
| Classificazione |
AMS 28D99
AMS 60F99 AMS 60J10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000719089707536 |
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Cajar, Helmut
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| Berlin : Springer-Verlag, 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Frobenius distributions in GL2-extensions : distribution of Frobenius automorphisms in GL2-extensions of the rational numbers / Serge Lang, Hale Trotter
| Frobenius distributions in GL2-extensions : distribution of Frobenius automorphisms in GL2-extensions of the rational numbers / Serge Lang, Hale Trotter |
| Autore | Lang, Serge |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1976 |
| Descrizione fisica | 274 p. : ill. ; 25 cm |
| Disciplina | 512.7 |
| Altri autori (Persone) | Trotter, Hale F.author |
| Collana | Lecture notes in mathematics, 0075-8434 ; 504 |
| Soggetto topico |
Field extensions
Galois theory Number theory Probabilistic number theory Rational numbers |
| ISBN | 354007550X |
| Classificazione |
AMS 11-02
AMS 11-XX AMS 11K99 AMS 11S20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000913359707536 |
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Lang, Serge
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| Berlin : Springer-Verlag, 1976 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Frobenius distributions in GLb2s-extensions : distribution of Frobenius automorphisms in GLb2s-extensions of the rational numbers / / Serge Lang, Hale Trotter
| Frobenius distributions in GLb2s-extensions : distribution of Frobenius automorphisms in GLb2s-extensions of the rational numbers / / Serge Lang, Hale Trotter |
| Autore | Lang Serge |
| Edizione | [1st ed. 1976.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1976] |
| Descrizione fisica | 1 online resource (IV, 280 p.) |
| Disciplina | 512.76 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Probabilistic number theory
Galois theory |
| ISBN | 3-540-38094-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Supersingular and fixed trace distribution -- Imaginary quadratic distribution -- Special computations -- Numerical results. |
| Record Nr. | UNISA-996466476503316 |
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Lang Serge
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1976] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
| Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Probabilistic number theory
Sequences (Mathematics) Random variables |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9911-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Limit theorems for mixing sequences of random variables""; ""1.1. The central problem""; ""1.2. The central limit theorem with remainder and the law of the iterated logarithm""; ""1.3. An extension of the law of the iterated logarithm""; ""1.3.1. The upper bound""; ""1.3.2. The lower bound""; ""2. Limit theorems for continued fractions and related algorithms""; ""3. Limit theorems in Diophantine approximation""; ""3.1. Introduction""; ""3.2. Preliminaries""; ""3.3. The asymptotic behavior of N*""; ""3.3.1. Preparatory remarks""
""3.3.2. The law of the iterated logarithm and the central limit theorem for the y[sub(j)]'s and the z[sub(j)]'s""""3.3.3. Proof of Theorem 3.1.2*""; ""3.3.4. Proof of Theorem 3.1.1*""; ""3.4. The asymptotic behavior of N""; ""4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1""; ""4.1. The discrepancies of almost all sequences (in the sense of the infinite product measure)""; ""4.2. The discrepancies of sequences of the type ""; ""5. The distribution of additive functions""; ""5.1. Kubiliusf fundamental lemma"" ""5.2. Preparatory lemmas""""5.3. Limit theorems for additive functions of class H""; ""5.4. A more direct method""; ""5.5. A result on uniform distribution""; ""References"" |
| Record Nr. | UNINA-9910479922003321 |
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Philipp Walter <1936->
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| Providence : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
| Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Probabilistic number theory
Sequences (Mathematics) Random variables |
| ISBN | 0-8218-9911-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Limit theorems for mixing sequences of random variables""; ""1.1. The central problem""; ""1.2. The central limit theorem with remainder and the law of the iterated logarithm""; ""1.3. An extension of the law of the iterated logarithm""; ""1.3.1. The upper bound""; ""1.3.2. The lower bound""; ""2. Limit theorems for continued fractions and related algorithms""; ""3. Limit theorems in Diophantine approximation""; ""3.1. Introduction""; ""3.2. Preliminaries""; ""3.3. The asymptotic behavior of N*""; ""3.3.1. Preparatory remarks""
""3.3.2. The law of the iterated logarithm and the central limit theorem for the y[sub(j)]'s and the z[sub(j)]'s""""3.3.3. Proof of Theorem 3.1.2*""; ""3.3.4. Proof of Theorem 3.1.1*""; ""3.4. The asymptotic behavior of N""; ""4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1""; ""4.1. The discrepancies of almost all sequences (in the sense of the infinite product measure)""; ""4.2. The discrepancies of sequences of the type ""; ""5. The distribution of additive functions""; ""5.1. Kubiliusf fundamental lemma"" ""5.2. Preparatory lemmas""""5.3. Limit theorems for additive functions of class H""; ""5.4. A more direct method""; ""5.5. A result on uniform distribution""; ""References"" |
| Record Nr. | UNINA-9910788613003321 |
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Philipp Walter <1936->
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| Providence : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp
| Mixing sequences of random variables and probabilistic number theory / / by Walter Philipp |
| Autore | Philipp Walter <1936-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Probabilistic number theory
Sequences (Mathematics) Random variables |
| ISBN | 0-8218-9911-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1. Limit theorems for mixing sequences of random variables""; ""1.1. The central problem""; ""1.2. The central limit theorem with remainder and the law of the iterated logarithm""; ""1.3. An extension of the law of the iterated logarithm""; ""1.3.1. The upper bound""; ""1.3.2. The lower bound""; ""2. Limit theorems for continued fractions and related algorithms""; ""3. Limit theorems in Diophantine approximation""; ""3.1. Introduction""; ""3.2. Preliminaries""; ""3.3. The asymptotic behavior of N*""; ""3.3.1. Preparatory remarks""
""3.3.2. The law of the iterated logarithm and the central limit theorem for the y[sub(j)]'s and the z[sub(j)]'s""""3.3.3. Proof of Theorem 3.1.2*""; ""3.3.4. Proof of Theorem 3.1.1*""; ""3.4. The asymptotic behavior of N""; ""4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1""; ""4.1. The discrepancies of almost all sequences (in the sense of the infinite product measure)""; ""4.2. The discrepancies of sequences of the type ""; ""5. The distribution of additive functions""; ""5.1. Kubiliusf fundamental lemma"" ""5.2. Preparatory lemmas""""5.3. Limit theorems for additive functions of class H""; ""5.4. A more direct method""; ""5.5. A result on uniform distribution""; ""References"" |
| Record Nr. | UNINA-9910828803403321 |
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Philipp Walter <1936->
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| Providence : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A probability and statistics companion [[electronic resource] /] / John J. Kinney
| A probability and statistics companion [[electronic resource] /] / John J. Kinney |
| Autore | Kinney John J |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2009 |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 519.2 |
| Soggetto topico |
Probabilities
Probabilistic number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-11461-1
9786612114618 0-470-48697-X 0-470-48696-1 |
| Classificazione | SK 800 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Probability and Statistics Companion; Contents; Preface; 1. Probability and Sample Spaces; Why Study Probability?; Probability; Sample Spaces; Some Properties of Probabilities; Finding Probabilities of Events; Conclusions; Explorations; 2. Permutations and Combinations: Choosing the Best Candidate; Acceptance Sampling; Permutations; Counting Principle; Permutations with Some Objects Alike; Permuting Only Some of the Objects; Combinations; General Addition Theorem and Applications; Conclusions; Explorations; 3. Conditional Probability; Introduction; Some Notation; Bayes' Theorem
ConclusionsExplorations; 4. Geometric Probability; Conclusion; Explorations; 5. Random Variables and Discrete Probability Distributions-Uniform, Binomial, Hypergeometric, and Geometric Distributions; Introduction; Discrete Uniform Distribution; Mean and Variance of a Discrete Random Variable; Intervals, σ, and German Tanks; Sums; Binomial Probability Distribution; Mean and Variance of the Binomial Distribution; Sums; Hypergeometric Distribution; Other Properties of the Hypergeometric Distribution; Geometric Probability Distribution; Conclusions; Explorations; 6. Seven-Game Series in Sports IntroductionSeven-Game Series; Winning the First Game; How Long Should the Series Last?; Conclusions; Explorations; 7. Waiting Time Problems; Waiting for the First Success; The Mythical Island; Waiting for the Second Success; Waiting for the rth Success; Mean of the Negative Binomial; Collecting Cereal Box Prizes; Heads Before Tails; Waiting for Patterns; Expected Waiting Time for HH; Expected Waiting Time for TH; An Unfair Game with a Fair Coin; Three Tosses; Who Pays for Lunch?; Expected Number of Lunches; Negative Hypergeometric Distribution Mean and Variance of the Negative HypergeometricNegative Binomial Approximation; The Meaning of the Mean; First Occurrences; Waiting Time for c Special Items to Occur; Estimating k; Conclusions; Explorations; 8. Continuous Probability Distributions: Sums, the Normal Distribution, and the Central Limit Theorem; Bivariate Random Variables; Uniform Random Variable; Sums; A Fact About Means; Normal Probability Distribution; Facts About Normal Curves; Bivariate Random Variables; Variance; Central Limit Theorem: Sums; Central Limit Theorem: Means; Central Limit Theorem Expected Values and Bivariate Random VariablesMeans and Variances of Means; A Note on the Uniform Distribution; Conclusions; Explorations; 9. Statistical Inference I; Estimation; Confidence Intervals; Hypothesis Testing; β and the Power of a Test; p-Value for a Test; Conclusions; Explorations; 10. Statistical Inference II: Continuous Probability Distributions II-Comparing Two Samples; The Chi-Squared Distribution; Statistical Inference on the Variance; Student t Distribution; Testing the Ratio of Variances: The F Distribution; Tests on Means from Two Samples; Conclusions; Explorations 11. Statistical Process Control |
| Record Nr. | UNINA-9910143081203321 |
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Kinney John J
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| Hoboken, N.J., : Wiley, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A probability and statistics companion [[electronic resource] /] / John J. Kinney
| A probability and statistics companion [[electronic resource] /] / John J. Kinney |
| Autore | Kinney John J |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2009 |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 519.2 |
| Soggetto topico |
Probabilities
Probabilistic number theory |
| ISBN |
1-282-11461-1
9786612114618 0-470-48697-X 0-470-48696-1 |
| Classificazione | SK 800 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Probability and Statistics Companion; Contents; Preface; 1. Probability and Sample Spaces; Why Study Probability?; Probability; Sample Spaces; Some Properties of Probabilities; Finding Probabilities of Events; Conclusions; Explorations; 2. Permutations and Combinations: Choosing the Best Candidate; Acceptance Sampling; Permutations; Counting Principle; Permutations with Some Objects Alike; Permuting Only Some of the Objects; Combinations; General Addition Theorem and Applications; Conclusions; Explorations; 3. Conditional Probability; Introduction; Some Notation; Bayes' Theorem
ConclusionsExplorations; 4. Geometric Probability; Conclusion; Explorations; 5. Random Variables and Discrete Probability Distributions-Uniform, Binomial, Hypergeometric, and Geometric Distributions; Introduction; Discrete Uniform Distribution; Mean and Variance of a Discrete Random Variable; Intervals, σ, and German Tanks; Sums; Binomial Probability Distribution; Mean and Variance of the Binomial Distribution; Sums; Hypergeometric Distribution; Other Properties of the Hypergeometric Distribution; Geometric Probability Distribution; Conclusions; Explorations; 6. Seven-Game Series in Sports IntroductionSeven-Game Series; Winning the First Game; How Long Should the Series Last?; Conclusions; Explorations; 7. Waiting Time Problems; Waiting for the First Success; The Mythical Island; Waiting for the Second Success; Waiting for the rth Success; Mean of the Negative Binomial; Collecting Cereal Box Prizes; Heads Before Tails; Waiting for Patterns; Expected Waiting Time for HH; Expected Waiting Time for TH; An Unfair Game with a Fair Coin; Three Tosses; Who Pays for Lunch?; Expected Number of Lunches; Negative Hypergeometric Distribution Mean and Variance of the Negative HypergeometricNegative Binomial Approximation; The Meaning of the Mean; First Occurrences; Waiting Time for c Special Items to Occur; Estimating k; Conclusions; Explorations; 8. Continuous Probability Distributions: Sums, the Normal Distribution, and the Central Limit Theorem; Bivariate Random Variables; Uniform Random Variable; Sums; A Fact About Means; Normal Probability Distribution; Facts About Normal Curves; Bivariate Random Variables; Variance; Central Limit Theorem: Sums; Central Limit Theorem: Means; Central Limit Theorem Expected Values and Bivariate Random VariablesMeans and Variances of Means; A Note on the Uniform Distribution; Conclusions; Explorations; 9. Statistical Inference I; Estimation; Confidence Intervals; Hypothesis Testing; β and the Power of a Test; p-Value for a Test; Conclusions; Explorations; 10. Statistical Inference II: Continuous Probability Distributions II-Comparing Two Samples; The Chi-Squared Distribution; Statistical Inference on the Variance; Student t Distribution; Testing the Ratio of Variances: The F Distribution; Tests on Means from Two Samples; Conclusions; Explorations 11. Statistical Process Control |
| Record Nr. | UNINA-9910829988503321 |
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Kinney John J
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||
| Hoboken, N.J., : Wiley, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A probability and statistics companion [[electronic resource] /] / John J. Kinney
| A probability and statistics companion [[electronic resource] /] / John J. Kinney |
| Autore | Kinney John J |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2009 |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 519.2 |
| Soggetto topico |
Probabilities
Probabilistic number theory |
| ISBN |
1-282-11461-1
9786612114618 0-470-48697-X 0-470-48696-1 |
| Classificazione | SK 800 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Probability and Statistics Companion; Contents; Preface; 1. Probability and Sample Spaces; Why Study Probability?; Probability; Sample Spaces; Some Properties of Probabilities; Finding Probabilities of Events; Conclusions; Explorations; 2. Permutations and Combinations: Choosing the Best Candidate; Acceptance Sampling; Permutations; Counting Principle; Permutations with Some Objects Alike; Permuting Only Some of the Objects; Combinations; General Addition Theorem and Applications; Conclusions; Explorations; 3. Conditional Probability; Introduction; Some Notation; Bayes' Theorem
ConclusionsExplorations; 4. Geometric Probability; Conclusion; Explorations; 5. Random Variables and Discrete Probability Distributions-Uniform, Binomial, Hypergeometric, and Geometric Distributions; Introduction; Discrete Uniform Distribution; Mean and Variance of a Discrete Random Variable; Intervals, σ, and German Tanks; Sums; Binomial Probability Distribution; Mean and Variance of the Binomial Distribution; Sums; Hypergeometric Distribution; Other Properties of the Hypergeometric Distribution; Geometric Probability Distribution; Conclusions; Explorations; 6. Seven-Game Series in Sports IntroductionSeven-Game Series; Winning the First Game; How Long Should the Series Last?; Conclusions; Explorations; 7. Waiting Time Problems; Waiting for the First Success; The Mythical Island; Waiting for the Second Success; Waiting for the rth Success; Mean of the Negative Binomial; Collecting Cereal Box Prizes; Heads Before Tails; Waiting for Patterns; Expected Waiting Time for HH; Expected Waiting Time for TH; An Unfair Game with a Fair Coin; Three Tosses; Who Pays for Lunch?; Expected Number of Lunches; Negative Hypergeometric Distribution Mean and Variance of the Negative HypergeometricNegative Binomial Approximation; The Meaning of the Mean; First Occurrences; Waiting Time for c Special Items to Occur; Estimating k; Conclusions; Explorations; 8. Continuous Probability Distributions: Sums, the Normal Distribution, and the Central Limit Theorem; Bivariate Random Variables; Uniform Random Variable; Sums; A Fact About Means; Normal Probability Distribution; Facts About Normal Curves; Bivariate Random Variables; Variance; Central Limit Theorem: Sums; Central Limit Theorem: Means; Central Limit Theorem Expected Values and Bivariate Random VariablesMeans and Variances of Means; A Note on the Uniform Distribution; Conclusions; Explorations; 9. Statistical Inference I; Estimation; Confidence Intervals; Hypothesis Testing; β and the Power of a Test; p-Value for a Test; Conclusions; Explorations; 10. Statistical Inference II: Continuous Probability Distributions II-Comparing Two Samples; The Chi-Squared Distribution; Statistical Inference on the Variance; Student t Distribution; Testing the Ratio of Variances: The F Distribution; Tests on Means from Two Samples; Conclusions; Explorations 11. Statistical Process Control |
| Record Nr. | UNINA-9910840682203321 |
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Kinney John J
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| Hoboken, N.J., : Wiley, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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