This work considers type-I mixtures of the members of a subclass of
one parameter exponential family of disributions. This subclass
includes Exponential, Rayleigh, Pareto, a Burr type XII and Power
function distributions. Except the Exponential, mixtures of
distributions of this subclass get either no or least attention in
literature so far. The elegant closed form expressions for the
Bayes estimators of the parameters of each of these mixtures are
presented along with their variances assuming uninformative and
informative priors. The proposed informative Bayes estimators
emerge advantageous in terms of their least standard errors. An
extensive simulation study is conducted for each of these mixtures
to highlight the properties and comparison of the proposed Bayes
estimators in terms of sample sizes, censoring rates, mixing
proportions and different combinations of the parameters of the
component densities. A type-IV sample consisting of ordinary
type-I, right censored observations is considered. Bayesian
analysis of the real life mixture data sets is conducted as an
application of each mixture and some interesting observations and
comparisons have been observed.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
United States |
Release date: |
November 2012 |
First published: |
November 2012 |
Authors: |
Saleem Muhammad
|
Dimensions: |
229 x 152 x 9mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
156 |
ISBN-13: |
978-3-659-28759-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
3-659-28759-8 |
Barcode: |
9783659287596 |
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