1.

Record Nr.

UNINA9910797596603321

Autore

Shanmugam Ramalingam

Titolo

Statistics for scientists and engineers / / Ramalingam Shanmugam, Rajan Chattamvelli

Pubbl/distr/stampa

Hoboken, New Jersey : , : John Wiley & Sons, Incorporated, , 2015

ISBN

1-118-47802-9

1-119-04718-8

Descrizione fisica

1 online resource (1063 p.)

Disciplina

519.5

Soggetti

Mathematical statistics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Cover; Table of Contents; Title Page; Copyright; Preface; Audience; Purpose; Approach; Main Features; Mathematics Level; Coverage; About the Companion Website; Chapter 1: Descriptive Statistics; 1.1 Introduction; 1.2 Statistics as A Scientific Discipline; 1.3 The NOIR Scale; 1.4 Population Versus Sample; 1.5 Combination Notation; 1.6 Summation Notation; 1.7 Product Notation; 1.8 Rising and Falling Factorials; 1.9 Moments and Cumulants; 1.10 Data Transformations; 1.11 Data Discretization; 1.12 Categorization of Data Discretization; 1.13 Testing for Normality; 1.14 Summary; Exercises

Chapter 2: Measures of Location2.1 Meaning of Location Measure; 2.2 Measures of Central Tendency; 2.3 Arithmetic Mean; 2.4 Median; 2.5 Quartiles and Percentiles; 2.6 Mode; 2.7 Geometric Mean; 2.8 Harmonic Mean; 2.9 Which Measure to Use?; 2.10 Summary; Exercises; Chapter 3: Measures of Spread; 3.1 Need For a Spread Measure; 3.2 Range; 3.3 Inter-Quartile Range (IQR); 3.4 The Concept of Degrees of Freedom; 3.5 Averaged Absolute Deviation (AAD); 3.6 Variance and Standard Deviation; 3.7 Coefficient of Variation; 3.8 Gini Coefficient; 3.9 Summary; Exercises; Chapter 4: Skewness and Kurtosis

4.1 Meaning of Skewness4.2 Categorization of Skewness Measures; 4.3 Measures of Skewness; 4.4 Concept of Kurtosis; 4.5 Measures of Kurtosis; 4.6 Summary; Exercises; Chapter 5: Probability; 5.1 Introduction; 5.2 Probability; 5.3 Different Ways to Express Probability; 5.4 Sample Space; 5.5 Mathematical Background; 5.6 Events; 5.7 Event



Algebra; 5.8 Basic Counting Principles; 5.9 Permutations and Combinations; 5.10 Principle of Inclusion and Exclusion (PIE); 5.11 Recurrence Relations; 5.12 Urn Models; 5.13 Partitions; 5.14 Axiomatic Approach; 5.15 The Classical Approach; 5.16 Frequency Approach

5.17 Bayes Theorem5.18 Summary; Exercises; Chapter 6: Discrete Distributions; 6.1 Discrete Random Variables; 6.2 Binomial Theorem; 6.3 Mean Deviation of Discrete Distributions; 6.4 Bernoulli Distribution; 6.5 Binomial Distribution; 6.6 Discrete Uniform Distribution; 6.7 Geometric Distribution; 6.8 Negative Binomial Distribution; 6.9 Poisson Distribution; 6.10 Hypergeometric Distribution; 6.11 Negative Hypergeometric Distribution; 6.12 Beta Binomial Distribution; 6.13 Logarithmic Series Distribution; 6.14 Multinomial Distribution; 6.15 Summary; Exercises; Chapter 7: Continuous Distributions

7.1 Introduction7.2 Mean Deviation of Continuous Distributions; 7.3 Continuous Uniform Distribution; 7.4 Exponential Distribution; 7.5 Beta Distribution; 7.6 The Incomplete Beta Function; 7.7 General Beta Distribution; 7.8 Arc-Sine Distribution; 7.9 Gamma Distribution; 7.10 Cosine Distribution; 7.11 The Normal Distribution; 7.12 Cauchy Distribution; 7.13 Inverse Gaussian Distribution; 7.14 Lognormal Distribution; 7.15 Pareto Distribution; 7.16 Double Exponential Distribution; 7.17 Central x2 Distribution; 7.18 Student's T Distribution; 7.19 Snedecor's F Distribution

7.20 Fisher's Z Distribution

Sommario/riassunto

This book provides the theoretical framework needed to build, analyze and interpret various statistical models. It helps readers choose the correct model, distinguish among various choices that best captures the data, or solve the problem at hand.   This is an introductory textbook on probability and statistics. The authors explain theoretical concepts in a step-by-step manner and provide practical examples. The introductory chapter in this book presents the basic concepts. Next, the authors discuss the measures of location, popular measures of spread, and measures of skewness and kurtosis. P



2.

Record Nr.

UNINA9910150452603321

Titolo

Modal Epistemology After Rationalism / / edited by Bob Fischer, Felipe Leon

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017

ISBN

3-319-44309-7

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (VI, 308 p. 4 illus.)

Collana

Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, , 0166-6991 ; ; 378

Disciplina

120

Soggetti

Knowledge, Theory of

Metaphysics

Epistemology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

1. Introduction to Modal Epistemology After Rationalism (Bob Fischer) -- 2. Naturalised Modal Epistemology (Daniel Nolan) -- 3. Empirically-Informed Modal Rationalism (Tuomas E. Tahko) -- 4. Modal Epistemology Without Detours (Scott A. Shalkowski) -- 5. The Epistemology of Modality and the Epistemology of Mathematics (Otávio Bueno) -- 6. Modal Knowledge: Beyond Rationalism and Empiricism (Anand Jayprakash Vaidya) -- 7. Extending Modal Vision (Rasmussen) -- 8. Personal Identity Without Too Much Science Fiction (Peter Kung) -- 9. Modal Conventionalism and Textbook Analyticities (Biggs) -- 10. Modal Knowledge, Evolution, and Counterfactuals (Thomas Kroedel) -- 11. Imagination, Possibility, and Plovers (Hanrahan) -- 12. Similarity and Possibility: An Epistemology of De Re Possibility for Concrete Entities (Roca-Royes) -- 13. From Modal Skepticism to Modal Empiricism (Felipe Leon) -- 14. Modal Empiricism: Objection, Reply, Proposal (Bob Fischer) -- 15. Can Modal Skepticism Defeat Humean Skepticism? (Peter Hawke).

Sommario/riassunto

This collection highlights the new trend away from rationalism and toward empiricism in the epistemology of modality. Accordingly, the book represents a wide range of positions on the empirical sources of modal knowledge. Readers will find an introduction that surveys the



field and provides a brief overview of the work, which progresses from empirically-sensitive rationalist accounts to fully empiricist accounts of modal knowledge. Early chapters focus on challenges to rationalist theories, essence-based approaches to modal knowledge, and the prospects for naturalizing modal epistemology. The middle chapters present positive accounts that reject rationalism, but which stop short of advocating exclusive appeal to empirical sources of modal knowledge. The final chapters mark a transition toward exclusive reliance on empirical sources of modal knowledge. They explore ways of making similarity-based, analogical, inductive, and abductive arguments for modal claims based on empirical information. Modal epistemology is coming into its own as a field, and this book has the potential to anchor a new research agenda.