LEADER 05363nam 2200637 450 001 9910797596603321 005 20230807221408.0 010 $a1-118-47802-9 010 $a1-119-04718-8 035 $a(CKB)3710000000458806 035 $a(EBL)1895998 035 $a(SSID)ssj0001531377 035 $a(PQKBManifestationID)12588324 035 $a(PQKBTitleCode)TC0001531377 035 $a(PQKBWorkID)11464374 035 $a(PQKB)10744884 035 $a(PQKBManifestationID)16037734 035 $a(PQKB)20994406 035 $a(MiAaPQ)EBC1895998 035 $a(DLC) 2015008109 035 $a(Au-PeEL)EBL1895998 035 $a(CaPaEBR)ebr11090905 035 $a(CaONFJC)MIL824825 035 $a(OCoLC)923709904 035 $a(EXLCZ)993710000000458806 100 $a20150209d2015 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStatistics for scientists and engineers /$fRamalingam Shanmugam, Rajan Chattamvelli 210 1$aHoboken, New Jersey :$cJohn Wiley & Sons, Incorporated,$d2015. 215 $a1 online resource (1063 p.) 300 $aDescription based upon print version of record. 311 $a1-118-22896-0 320 $aIncludes bibliographical references and index. 327 $aCover; 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 327 $aChapter 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 327 $a4.1 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 327 $a5.17 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 327 $a7.1 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 327 $a7.20 Fisher's Z Distribution 330 $aThis 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 606 $aMathematical statistics 615 0$aMathematical statistics. 676 $a519.5 700 $aShanmugam$b Ramalingam$01510327 702 $aChattamvelli$b Rajan 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910797596603321 996 $aStatistics for scientists and engineers$93742901 997 $aUNINA