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Moments Inequalities for NBRUrp Distributions with Hypotheses Testing Applications

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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2017
Authors:
S. M. El-Arishy, L. S. Diab, E. S. El-Atfy
10.5120/ijca2017912879

S M El-Arishy, L S Diab and E S El-Atfy. Moments Inequalities for NBRUrp Distributions with Hypotheses Testing Applications. International Journal of Computer Applications 159(2):34-40, February 2017. BibTeX

@article{10.5120/ijca2017912879,
	author = {S. M. El-Arishy and L. S. Diab and E. S. El-Atfy},
	title = {Moments Inequalities for NBRUrp Distributions with Hypotheses Testing Applications},
	journal = {International Journal of Computer Applications},
	issue_date = {February 2017},
	volume = {159},
	number = {2},
	month = {Feb},
	year = {2017},
	issn = {0975-8887},
	pages = {34-40},
	numpages = {7},
	url = {http://www.ijcaonline.org/archives/volume159/number2/26976-2017912879},
	doi = {10.5120/ijca2017912879},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

In this paper, we presented a new test statistic for testing exponentiality against new better than renewal used in the RP order NBRUrp based on moment inequality. Pitman's asymptotic efficiency, The Pitman asymptotic relative efficiency (PARE) are studied for other testes. Critical values are tabulated for sample size n=5(1)30(5)50 , the power of the test are calculate. Also we proposed a test for testing exponentiality versus NBRUrp for right censored data and the power estimates of this test are also simulated for some commonly used distributions in reliability. Finally, real data are given to elucidate the use of the proposed test statistic in the reliability analysis.

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Keywords

Life distributions, NBRUrp aging class, moment inequalities, exponentiality U-statistic, asymptotic normality, efficiency, Monte Carlo method, power and censored data.