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Testing Hypothesis for New Class of Life Distribution Nbufr- t0

by N. A. Abdul Alim
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 80 - Number 5
Year of Publication: 2013
Authors: N. A. Abdul Alim
10.5120/13858-1705

N. A. Abdul Alim . Testing Hypothesis for New Class of Life Distribution Nbufr- t0. International Journal of Computer Applications. 80, 5 ( October 2013), 25-29. DOI=10.5120/13858-1705

@article{ 10.5120/13858-1705,
author = { N. A. Abdul Alim },
title = { Testing Hypothesis for New Class of Life Distribution Nbufr- t0 },
journal = { International Journal of Computer Applications },
issue_date = { October 2013 },
volume = { 80 },
number = { 5 },
month = { October },
year = { 2013 },
issn = { 0975-8887 },
pages = { 25-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume80/number5/13858-1705/ },
doi = { 10.5120/13858-1705 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:53:45.005638+05:30
%A N. A. Abdul Alim
%T Testing Hypothesis for New Class of Life Distribution Nbufr- t0
%J International Journal of Computer Applications
%@ 0975-8887
%V 80
%N 5
%P 25-29
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A new concept of ageing distribution, namely new better (worse) than used in failure rate at specific time (NBUFR- (NWUFR- )) are introduced. The problem is investigated how to prove that after a specified time of operation the failure rate of an item is greater than the corresponding failure rate of a new item. This problem occurs in various areas like for instance in industry, when designing a maintenance policy. A test statistics that based on the goodness of fit method are derived for testing exponentially versus the NBUFR- alternatives. The percentiles and powers of this test statistic are tabulated. The asymptotic efficiencies for some alternatives are derived. A medical data is taken as a practical application.

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Index Terms

Computer Science
Information Sciences

Keywords

NBUFR- NWUFR- Mont Carlo method Hypotheses testing NBUFR U-statistic Life testing Exponential distribution Goodness of fit testing Efficiency Power of test.

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