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Characterization and Identification of Probability Distributions (Paperback)
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Characterization and Identification of Probability Distributions (Paperback)
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This book introduces three new criteria (a) moment relations, (b)
moment ratios and (c) ratios of the coefficients of the recurrence
relations to characterize and indentify probability distributions.
In general moment relations criteria are effective but there are
some special situations, where the moment relations of two or more
suspected distributions are same or one particular moment function
takes same value for two or more distributions. In such a situation
two moment ratios as extra criteria are proposed for deciding among
them. This book also discussed the identification of a distribution
by using the ratios of the coefficients of the recurrence relations
obtained from its generating function. The significant contribution
of this research is to introduce a new special class of exponential
family of distributions named 'transformed Chi-square family."
Explicit expressions for the MVUE with MV of a function of the
parameter of this family are given. The critical region and the
power function for various tests of hypotheses for the parameter of
this family are also obtained. An identification procedure with
probability of correct identification is discussed in detail.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
February 2012 |
First published: |
February 2012 |
Authors: |
Shafiqurrahman
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Dimensions: |
229 x 152 x 7mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
108 |
ISBN-13: |
978-3-8484-0825-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
3-8484-0825-2 |
Barcode: |
9783848408252 |
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