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An Extended Exponentiated Exponential Distribution and its Properties

by S. E Abu-youssef, B. I Mohammed, M. G Sief
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 121 - Number 5
Year of Publication: 2015
Authors: S. E Abu-youssef, B. I Mohammed, M. G Sief
10.5120/21533-4518

S. E Abu-youssef, B. I Mohammed, M. G Sief . An Extended Exponentiated Exponential Distribution and its Properties. International Journal of Computer Applications. 121, 5 ( July 2015), 1-6. DOI=10.5120/21533-4518

@article{ 10.5120/21533-4518,
author = { S. E Abu-youssef, B. I Mohammed, M. G Sief },
title = { An Extended Exponentiated Exponential Distribution and its Properties },
journal = { International Journal of Computer Applications },
issue_date = { July 2015 },
volume = { 121 },
number = { 5 },
month = { July },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume121/number5/21533-4518/ },
doi = { 10.5120/21533-4518 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:07:37.205102+05:30
%A S. E Abu-youssef
%A B. I Mohammed
%A M. G Sief
%T An Extended Exponentiated Exponential Distribution and its Properties
%J International Journal of Computer Applications
%@ 0975-8887
%V 121
%N 5
%P 1-6
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we introduce an extension of the exponentiated exponential(EE) distribution which offers a more flexible model for lifetime data. This model is generated by compound distribution with mixing exponential model. Several statistical and reliability properties of the proposed distribution are explored as the geometric extreme stability, sufficient conditions for the shape behavior of the density and hazard rate functions, the moments and mean residual life time. Estimation of unknown parameters using the maximum likelihood are obtained. Moreover, an application to a real data set is presented for illustrative purposes.

References
  1. Alaa H Abdel-Hamid and Essam K AL-Hussaini. Estimation in step-stress accelerated life tests for the exponentiated exponential distribution with type-I censoring. Computational Statistics & Data Analysis, 53(4):1328–1338, 2009.
  2. J. C. Ahuja and Stanley W. Nash. The generalized gompertzverhulst family of distributions. Sankhya : The Indian Journal of Statistics, 29(2):144–156, 06 1967.
  3. Hirotugu Akaike. Fitting autoregressive models for prediction. Annals of the institute of Statistical Mathematics, 21(1):243–247, 1969.
  4. Muhammad Aslam, Debasis Kundu, and Munir Ahmad. Time truncated acceptance sampling plans for generalized exponential distribution. Journal of Applied Statistics, 37(4):555– 566, 2010.
  5. Franco Biondi, Tomasz J Kozubowski, Anna K Panorska, and Laurel Saito. A new stochastic model of episode peak and duration for eco-hydro-climatic applications. ecological modelling, 211(3):383–395, 2008.
  6. Rameshwar D Gupta and Debasis Kundu. Generalized exponential distributions. Australian & New Zealand Journal of Statistics, 41(2):173–188, 1999.
  7. Rameshwar D Gupta and Debasis Kundu. Generalized exponential distribution: Existing results and some recent developments. Journal of Statistical Planning and Inference, 137(11):3537–3547, 2007.
  8. Nandini Kannan, Debasis Kundu, P Nair, and RC Tripathi. The generalized exponential cure rate model with covariates. Journal of Applied Statistics, 37(10):1625–1636, 2010.
  9. Paul Kaplan, E. L. ; Meier. Nonparametric estimation from incomplete observations. American Statistical Association, 53(282):457–481, 06 1958.
  10. Debasis Kundu and Biswabrata Pradhan. Bayesian inference and life testing plans for generalized exponential distribution. Science in China Series A: Mathematics, 52(6):1373–1388, 2009.
  11. Mohamed T Madi and Mohammad Z Raqab. Bayesian prediction of rainfall records using the generalized exponential distribution. Environmetrics, 18(5):541–549, 2007.
  12. A. Marshall and I. Olkin. A new method for adding a parameter to a family of distributions with application to the exponential and weibull families. Biometrika, 84(3):641–652, 1997.
  13. Saralees Nadarajah and Samuel Kotz. The exponentiated type distributions. Acta Applicandae Mathematica, 92(2):97–111, 2006.
  14. Michele D Nichols and WJ Padgett. A bootstrap control chart for weibull percentiles. Quality and reliability engineering international, 22(2):141–151, 2006.
  15. TA Raja and AH Mir. On extension of some exponentiated distributions with application. Int J Contemp Math Sci, 6:393–400, 2011.
  16. Mohammad Z. Raqab. Inferences for generalized exponential distribution based on record statistics. Journal of Statistical Planning and Inference, 104(2):339–350, 2002.
  17. Gideon Schwarz et al. Estimating the dimension of a model. The annals of statistics, 6(2):461–464, 1978.
  18. DT Shirke, RR Kumbhar, and D Kundu. Tolerance intervals for exponentiated scale family of distributions. Journal of Applied Statistics, 32(10):1067–1074, 2005.
  19. Sanjay Kumar Singh, Umesh Singh, and Abhimanyu Singh Yadav. Parameter estimation in marshall-olkin exponential distribution under type-i hybrid censoring scheme. Journal of Statistics Applications and Probability, 3(2):117–127, 2014.
  20. G. S. Watson andW. T. Wells. On the possibility of improving the mean useful life of items by eliminating those with short lives. Technometrics, 3:281–298, 1961.
  21. MP Yeates, BJ Tolkamp, DJ Allcroft, and I Kyriazakis. The use of mixed distribution models to determine bout criteria for analysis of animal behaviour. Journal of Theoretical Biology, 213(3):413–425, 2001.
  22. Gang Zheng. On the fisher information matrix in type ii censored data from the exponentiated exponential family. Biometrical Journal, 44(3):353–357, 2002.
Index Terms

Computer Science
Information Sciences

Keywords

Exponentiated Exponential Distribution Compound distribution Geometric extreme stability AIC BIC Likelihood ratio test P-P plot mean residual life

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