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Separation and Lack of Separation of Subpopulation in the Mixed Distributions |
Research Area | faculty-of-commerce |
Year | 2014 |
Authors | ولـــيد محمد عفيفى W.M. Afify
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Journal | Communications in Statistics—Simulation and Computation |
Volume | |
Month | |
ISSN | 0361-0918 |
Abstract | This is a comparative study between the estimates of parameters ofmixed distributions in
the case of the possibility of separating the units of subpopulation or the absence of that
possibility under the progressive type I censored test data. An iterative procedure is developed
and tested numerically to obtain new estimators and their variance–covariance
matrix. Finally, we will use the exact distribution of the maximum likelihood estimators
as well as its asymptotic distribution and the parametric bootstrap method; then, we
will discuss the construction of confidence intervals for the mean parameter and their
performance is assessed through Monte Carlo simulations. |
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