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Runs and scans with applications / / N. Balakrishnan, Markos V. Koutras
Runs and scans with applications / / N. Balakrishnan, Markos V. Koutras
Autore Balakrishnan N. <1956->
Pubbl/distr/stampa New York : , : John Wiley & Sons, Inc., , 2002
Descrizione fisica 1 online resource (484 p.)
Disciplina 519.2
Collana Wiley Series in Probability and Statistics
Soggetto topico Probabilities
Sequences (Mathematics)
Pattern perception
Combinatorial analysis
Reliability (Engineering)
Soggetto genere / forma Electronic books.
ISBN 1-283-28127-9
9786613281272
1-118-15046-5
1-118-15045-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Runs and Scans with Applications; Contents; List of Tables; List of Figures; Preface; 1 Introduction and Historical Remarks; 1.1 WHAT ARE RUNS?; 1.2 WHY RUNS?; 1.3 WHAT USE ARE RUNS?; 1.4 FROM RUNS TO SCANS; 1.5 WHAT TO EXPECT; 2 Waiting for the First Run Occurrence; 2.1 INTRODUCTION; 2.2 I.I.D. TRIALS - GEOMETRIC DISTRIBUTION OF ORDER k; 2.2.1 Distribution Function; 2.2.2 Generating Functions and Moments; 2.2.3 Bounds and Approximations; 2.2.4 Properties; 2.2.5 Asymptotics; 2.2.6 Estimation; 2.3 MARKOV-DEPENDENT TRIALS - MARKOV-GEOMETRIC DISTRIBUTION OF ORDER k
2.4 NONIDENTICAL TRIALS - INTERVENED GEOMETRIC DISTRIBUTION OF ORDER k2.5 BINARY SEQUENCE OF ORDER l - EXTENDED GEOMETRIC DISTRIBUTION OF ORDER k; 2.6 CONDITIONAL DISTRIBUTIONS; 2.7 OTHER RELATED DISTRIBUTIONS; 2.8 MISCELLANEA; 3 Applications; 3.1 INTRODUCTION; 3.2 RELIABILITY THEORY; 3.3 PSYCHOLOGY, ECOLOGY AND METEOROLOGY; 3.4 RANDOMNESS TESTS; 3.5 START-UP DEMONSTRATION TESTS; 3.6 STATISTICAL QUALITY CONTROL; 3.7 MISCELLANEOUS APPLICATIONS; 4 Waiting for Multiple Run Occurrences; 4.1 INTRODUCTION; 4.2 I.I.D. TRIALS-NEGATIVE BINOMIAL DISTRIBUTIONS OF ORDERS k; 4.2.1 Distribution Function
4.2.2 Generating Functions and Moments4.2.3 Properties; 4.2.4 Asymptotics; 4.2.5 Estimation; 4.3 MARKOV-DEPENDENT TRIALS- MARKOV-NEGATIVE BINOMIAL DISTRIBUTIONS OF ORDER k; 4.4 MISCELLANEA; 5 Number of Run Occurrences; 5.1 INTRODUCTION; 5.2 I.I.D. TRIALS-BINOMIAL DISTRIBUTIONS OF ORDER k; 5.2.1 Distribution Function; 5.2.2 Generating Functions and Moments; 5.2.3 Bounds and Approximations; 5.2.4 Asymptotics; 5.2.5 Estimation; 5.3 MARKOV-DEPENDENT TRIALS-MARKOV-BINOMIAL DISTRIBUTIONS OF ORDER k; 5.4 CONDITIONAL DISTRIBUTIONS; 5.5 OTHER RELATED DISTRIBUTIONS; 6 Sooner/Later Run Occurrences
6.1 INTRODUCTION6.2 I.I.D. TRIALS - SOONER/LATER GEOMETRIC DISTRIBUTIONS OF ORDER (k1, k2); 6.2.1 Distribution Function; 6.2.2 Generating Functions and Moments; 6.2.3 Bounds and Asymptotics; 6.3 MARKOV-DEPENDENT TRIALS - SOONER/LATER MARKOV-GEOMETRIC DISTRIBUTION OF ORDER {k1, k2); 6.4 BINARY SEQUENCE OF ORDER I - EXTENDED SOONER/LATER GEOMETRIC DISTRIBUTION OF ORDER (k1, k2); 6.5 CONDITIONAL DISTRIBUTION; 6.6 OTHER RELATED DISTRIBUTIONS; 6.7 MISCELLANEA; 7 Multivariate Run-Related Distributions; 7.1 INTRODUCTION; 7.2 I.I.D. TRIALS-TRINOMIAL DISTRIBUTIONS OF ORDER (k1, k2)
7.2.1 Distribution Function7.2.2 Generating Functions and Moments; 7.3 MARKOV-DEPENDENT TRIALS- MARKOV-TRINOMIAL DISTRIBUTIONS OF ORDER (k1, k2); 7.4 MISCELLANEA; 8 Applications; 8.1 INTRODUCTION; 8.2 MACHINE MAINTENANCE; 8.3 LEARNING MODELS; 8.4 BRAND SWITCHING MODELS; 8.5 CLIMATOLOGY; 8.6 START-UP DEMONSTRATION TESTS WITH REJECTION OF UNITS UPON OBSERVING l FAILURES; 8.7 TWO-STAGE START-UP DEMONSTRATION TESTING; 8.8 VOLLEYBALL SCORES ANALYSIS; 8.9 NON-PARAMETRIC TESTS FOR RANDOMNESS; 8.10 MISCELLANEOUS APPLICATIONS; 9 Waiting for the First Scan; 9.1 INTRODUCTION; 9.2 I.I.D. TRIALS
9.2.1 Distribution Function
Record Nr. UNINA-9910139566803321
Balakrishnan N. <1956->  
New York : , : John Wiley & Sons, Inc., , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Runs and scans with applications / / N. Balakrishnan, Markos V. Koutras
Runs and scans with applications / / N. Balakrishnan, Markos V. Koutras
Autore Balakrishnan N. <1956->
Pubbl/distr/stampa New York : , : John Wiley & Sons, Inc., , 2002
Descrizione fisica 1 online resource (484 p.)
Disciplina 519.2
Collana Wiley Series in Probability and Statistics
Soggetto topico Probabilities
Sequences (Mathematics)
Pattern perception
Combinatorial analysis
Reliability (Engineering)
ISBN 1-283-28127-9
9786613281272
1-118-15046-5
1-118-15045-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Runs and Scans with Applications; Contents; List of Tables; List of Figures; Preface; 1 Introduction and Historical Remarks; 1.1 WHAT ARE RUNS?; 1.2 WHY RUNS?; 1.3 WHAT USE ARE RUNS?; 1.4 FROM RUNS TO SCANS; 1.5 WHAT TO EXPECT; 2 Waiting for the First Run Occurrence; 2.1 INTRODUCTION; 2.2 I.I.D. TRIALS - GEOMETRIC DISTRIBUTION OF ORDER k; 2.2.1 Distribution Function; 2.2.2 Generating Functions and Moments; 2.2.3 Bounds and Approximations; 2.2.4 Properties; 2.2.5 Asymptotics; 2.2.6 Estimation; 2.3 MARKOV-DEPENDENT TRIALS - MARKOV-GEOMETRIC DISTRIBUTION OF ORDER k
2.4 NONIDENTICAL TRIALS - INTERVENED GEOMETRIC DISTRIBUTION OF ORDER k2.5 BINARY SEQUENCE OF ORDER l - EXTENDED GEOMETRIC DISTRIBUTION OF ORDER k; 2.6 CONDITIONAL DISTRIBUTIONS; 2.7 OTHER RELATED DISTRIBUTIONS; 2.8 MISCELLANEA; 3 Applications; 3.1 INTRODUCTION; 3.2 RELIABILITY THEORY; 3.3 PSYCHOLOGY, ECOLOGY AND METEOROLOGY; 3.4 RANDOMNESS TESTS; 3.5 START-UP DEMONSTRATION TESTS; 3.6 STATISTICAL QUALITY CONTROL; 3.7 MISCELLANEOUS APPLICATIONS; 4 Waiting for Multiple Run Occurrences; 4.1 INTRODUCTION; 4.2 I.I.D. TRIALS-NEGATIVE BINOMIAL DISTRIBUTIONS OF ORDERS k; 4.2.1 Distribution Function
4.2.2 Generating Functions and Moments4.2.3 Properties; 4.2.4 Asymptotics; 4.2.5 Estimation; 4.3 MARKOV-DEPENDENT TRIALS- MARKOV-NEGATIVE BINOMIAL DISTRIBUTIONS OF ORDER k; 4.4 MISCELLANEA; 5 Number of Run Occurrences; 5.1 INTRODUCTION; 5.2 I.I.D. TRIALS-BINOMIAL DISTRIBUTIONS OF ORDER k; 5.2.1 Distribution Function; 5.2.2 Generating Functions and Moments; 5.2.3 Bounds and Approximations; 5.2.4 Asymptotics; 5.2.5 Estimation; 5.3 MARKOV-DEPENDENT TRIALS-MARKOV-BINOMIAL DISTRIBUTIONS OF ORDER k; 5.4 CONDITIONAL DISTRIBUTIONS; 5.5 OTHER RELATED DISTRIBUTIONS; 6 Sooner/Later Run Occurrences
6.1 INTRODUCTION6.2 I.I.D. TRIALS - SOONER/LATER GEOMETRIC DISTRIBUTIONS OF ORDER (k1, k2); 6.2.1 Distribution Function; 6.2.2 Generating Functions and Moments; 6.2.3 Bounds and Asymptotics; 6.3 MARKOV-DEPENDENT TRIALS - SOONER/LATER MARKOV-GEOMETRIC DISTRIBUTION OF ORDER {k1, k2); 6.4 BINARY SEQUENCE OF ORDER I - EXTENDED SOONER/LATER GEOMETRIC DISTRIBUTION OF ORDER (k1, k2); 6.5 CONDITIONAL DISTRIBUTION; 6.6 OTHER RELATED DISTRIBUTIONS; 6.7 MISCELLANEA; 7 Multivariate Run-Related Distributions; 7.1 INTRODUCTION; 7.2 I.I.D. TRIALS-TRINOMIAL DISTRIBUTIONS OF ORDER (k1, k2)
7.2.1 Distribution Function7.2.2 Generating Functions and Moments; 7.3 MARKOV-DEPENDENT TRIALS- MARKOV-TRINOMIAL DISTRIBUTIONS OF ORDER (k1, k2); 7.4 MISCELLANEA; 8 Applications; 8.1 INTRODUCTION; 8.2 MACHINE MAINTENANCE; 8.3 LEARNING MODELS; 8.4 BRAND SWITCHING MODELS; 8.5 CLIMATOLOGY; 8.6 START-UP DEMONSTRATION TESTS WITH REJECTION OF UNITS UPON OBSERVING l FAILURES; 8.7 TWO-STAGE START-UP DEMONSTRATION TESTING; 8.8 VOLLEYBALL SCORES ANALYSIS; 8.9 NON-PARAMETRIC TESTS FOR RANDOMNESS; 8.10 MISCELLANEOUS APPLICATIONS; 9 Waiting for the First Scan; 9.1 INTRODUCTION; 9.2 I.I.D. TRIALS
9.2.1 Distribution Function
Record Nr. UNINA-9910830869303321
Balakrishnan N. <1956->  
New York : , : John Wiley & Sons, Inc., , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui