An Introduction to Order Statistics 1st Edition by Mohammad Ahsanullah, Valery B Nevzorov, Mohammad Shakil ISBN 949121683X 9789491216831

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Product details:

ISBN 10: 949121683X

ISBN 13: 9789491216831

Author: Mohammad Ahsanullah, Valery B. Nevzorov, Mohammad Shakil 

This book presents the theory of order statistics in a way, such that beginners can get easily acquainted with the very basis of the theory without having to work through heavily involved techniques. At the same time more experienced readers can check their level of understanding and polish their knowledge with certain details. This is achieved by, on the one hand, stating the basic formulae and providing many useful examples to illustrate the theoretical statements, while on the other hand an upgraded list of references will make it easier to gain insight into more specialized results. Thus this book is suitable for a readership working in statistics, actuarial mathematics, reliability engineering, meteorology, hydrology, business economics, sports analysis and many more.

Table of contents:

1: Basic Definitions
2: Distributions of Order Statistics
3: Sample Quantiles and Ranges
4: Representations for Order Statistics
5: Conditional Distributions of Order Statistics
6: Order Statistics for Discrete Distributions
7: Moments of Order Statistics: General Relations
8: Moments of Uniform and Exponential Order Statistics
9: Moment Relations for Order Statistics: Normal Distribution
10: Asymptotic Behavior of the Middle and Intermediate Order Statistics
11: Asymptotic Behavior of the Extreme Order Statistics
12: Some Properties of Estimators Based on Order Statistics
13: Minimum Variance Linear Unbiased Estimators
14: Minimum Variance Linear Unbiased Estimators and Predictors Based on Censored Samples
15: Estimation of Parameters Based on Fixed Number of Sample Quantiles
16: Order Statistics from Extended Samples
17: Order Statistics and Record Values
18: Characterizations of Distributions Based on Properties of Order Statistics
19: Order Statistics and Record Values Based on Distributions
20: Generalized Order Statistics
21: Complements and Problems 

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Tags: Mohammad Ahsanullah, Valery B Nevzorov, Mohammad Shakil, Introduction, Order Statistics