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http://krishi.icar.gov.in/jspui/handle/123456789/42730
Title: | Preliminary test estimators and confidence intervals for the reliability characteristics of a family of Lifetime distributions |
Other Titles: | Not Available |
Authors: | Ajit Chaturvedi Himadri Ghosh Komal |
ICAR Data Use Licennce: | http://krishi.icar.gov.in/PDF/ICAR_Data_Use_Licence.pdf |
Author's Affiliated institute: | ICAR::Indian Agricultural Statistics Research Institute Delhi University, Delhi |
Published/ Complete Date: | 2020-01-01 |
Project Code: | Not Available |
Keywords: | Family of lifetime Distributions Record values Preliminary test estimator Preliminary test confidence interval Simulation studies |
Publisher: | Not Available |
Citation: | Not Available |
Series/Report no.: | Not Available; |
Abstract/Description: | We consider two measures of reliability function namely R(t) = P(X > t) and P = (X > Y) family of lifetime distribution which cover fourteen distribution as specific case. For records data from this family of distribution, preliminary test estimators (PTEs) and preliminary test confidence interval (PTCI) based on uniformly minimum variance unbiased estimators (UMVUE), maximum likelihood estimator (MLE) have been obtained. We also obtain coverage probability (CP) and the expected length of the PTCI of the parameter and establish that the confidence interval based on MLE is more precise. To the best the knowledge of the authors, no PTEs have been derived for R(t) and P based on records and thus we define improved PTEs based on MLE and UMVUE of R(t) and P. A comparative study of different methods of estimation done through simulation establishes that PTEs perform better than ordinary UMVUE and MLE. |
Description: | Not Available |
ISSN: | 0973-1903 |
Type(s) of content: | Research Paper |
Sponsors: | Not Available |
Language: | English |
Name of Journal: | International Journal of Agricultural and Statistical Sciences |
NAAS Rating: | 4.92 |
Volume No.: | 16(1) |
Page Number: | 439-451 |
Name of the Division/Regional Station: | Statistical Genetics |
Source, DOI or any other URL: | https://www.researchgate.net/publication/342698488_PRELIMINARY_TEST_ESTIMATORS_AND_CONFIDENCE_INTERVALS_FOR_THE_RELIABILITY_CHARACTERISTICS_OF_A_FAMILY_OF_LIFETIME_DISTRIBUTIONSailable |
URI: | http://krishi.icar.gov.in/jspui/handle/123456789/42730 |
Appears in Collections: | AEdu-IASRI-Publication |
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