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An introduction to order statistics Mohammad Ahsanullah, Valery B Nevzorov, Mohammad Shakil
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Ahsanullah, Mohammad
- Series:
- Atlantis studies in probability and statistics v. 3
- Atlantis studies in probability and statistics 1879-6893 v. 3
- Language:
- English
- Subjects (All):
- Order statistics.
- Mathematics.
- Physical Sciences & Mathematics.
- Mathematical Statistics.
- Statistics.
- Statistical Theory and Methods.
- Statistics for Business/Economics/Mathematical Finance/Insurance.
- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
- Statistics, general.
- Econometrics.
- Biostatistics.
- Local Subjects:
- Mathematics.
- Physical Sciences & Mathematics.
- Mathematical Statistics.
- Statistics.
- Statistical Theory and Methods.
- Statistics for Business/Economics/Mathematical Finance/Insurance.
- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
- Statistics, general.
- Econometrics.
- Biostatistics.
- Physical Description:
- 1 online resource
- Place of Publication:
- Amsterdam Atlantis Press ©2013
- System Details:
- text file
- Summary:
- A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with order statistics which play an important role in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of order statistics. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in order statistics, as well as for graduate students it study our book to have the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge . An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book
- Contents:
- Basic definitions
- Distributions of order statistics
- Sample quantiles and ranges
- Representations for order statistics
- Conditional distributions of order statistics.-Order statistics for discrete distributions
- Moments of order statistics: general relations
- Moments of uniform and exponential order statistics
- Moment relations for order statistics: normal distribution
- Asymptotic behavior of the middle and intermediate order statistics
- Asymptotic behavior of the extreme order statistics
- Some properties of estimators based on order statistics
- Minimum variance linear unbiased estimators
- Minimum variance linear unbiased estimators and predictors based on censored samples
- Estimation of parameters based on fixed number of sample quantiles
- Order statistics from extended samples
- Order statistics and record values
- Characterizations of distributions based on properties of order statistics
- Order statistics and record values based on F[alpha] distributions
- Generalized order statistics
- Compliments and problems
- Basic Definitions Distributions of Order Statistics Sample Quantiles and Ranges Representations for Order Statistics Conditional Distributions of Order Statistics Order Statistics for Discrete Distributions Moments of Order Statistics: General Relations Moments of Uniform and Exponential Order Statistics Moment Relations for Order Statistics: Normal Distribution Asymptotic Behavior of the Middle and Intermediate Order Statistics Asymptotic Behavior of the Extreme Order Statistics Some Properties of Estimators Based on Order Statistics Minimum Variance Linear Unbiased Estimators Minimum Variance Linear Unbiased Estimators and Predictors Based on Censored Samples Estimation of Parameters Based on Fixed Number of Sample Quantiles Order Statistics from Extended Samples Order Statistics and Record Values Characterizations of Distributions Based on Properties of Order Statistics Order Statistics and Record Values Based on Fα Distributions Generalized Order Statistics Compliments and Problems
- Notes:
- Includes bibliographical references and index
- Other Format:
- Printed edition:
- ISBN:
- 9789491216831
- 949121683X
- 9491216821
- 9789491216824
- OCLC:
- 834088636
- Access Restriction:
- Restricted for use by site license
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