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Annals of Data Science

Erschienen in:

16.11.2018

On the Inverse Power Lomax Distribution

verfasst von: Amal S. Hassan, Marwa Abd-Allah

Erschienen in: Annals of Data Science | Ausgabe 2/2019

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Abstract

We introduce and study a new three-parameter lifetime distribution named as the inverse power Lomax. The proposed distribution is obtained as the inverse form of the power Lomax distribution. Some statistical properties of the inverse power Lomax model are implemented. Based on censored samples, maximum likelihood estimators of the model parameters are obtained. An intensive simulation study is performed for evaluating the behavior of estimators based on their biases and mean square errors. Superiority of the new model over some well-known distributions is illustrated by means of real data sets. The results revealed the fact that; the suggested model can produce better fits than some well-known distributions.

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Abd-Elfattah AM, Alaboud FM, Alharby AH (2007) On sample size estimation for Lomax distribution. Aust J Basic Appl Sci 1:373–378

Abd-Elfattah AM, Alharbey HA (2010) Estimation of Lomax parameters based on generalized probability weighted moment. J King Saud Univ Sci 24(2):171–184

Abdul-Moniem IB, Abdel-Hameed HF (2012) A lifetime distribution with decreasing failure rate. Int J Math Educ 33(5):1–7

Atkinson Harrison A (1978) Distribution of personal wealth in Britain. Cambridge University Press, Cambridge

Ashour SK, Abdelfattah AM, Mohammad BSK (2011) Parameter estimation of the hybrid censored Lomax distribution. Pak J Stat Oper Res 7:1–19CrossRef

Balkema AA, de Hann L (1974) Residual life at great age. Ann Probab 2:792–804CrossRef

Bjerkedal T (1960) Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli. Am J Epidemiol 72(1):130–148CrossRef

Chahkandi M, Ganjali M (2009) On some lifetime distributions with decreasing failure rate. Comput Stat Data Anal 53:4433–4440CrossRef

Corbellini A, Crosato L, Ganugi, P, Mazzoli M (2007) Fitting Pareto II distributions on firm size: statistical methodology and economic puzzles. In: International conference on applied stochastic models and data analysis, Chania, Crete

10.

Cordeiro GM, Ortega E, Popović B (2013) The gamma-Lomax distribution. J Stat Comput Simul 85(2):305–319CrossRef

11.

Ghitany ME, AL-Awadhi FA, Alkhalfan LA (2007) Marshall-Olkin extended Lomax distribution and its applications to censored data. Commun Stat Theory Methods 36(10):1855–1866CrossRef

12.

Greenwood JA, Landwehr JM, Matalas NC, Wallis JR (1979) Probability weighted moments: definition and relation to parameters of several distributions expressible in inverse form. Water Resour Res 15(5):1049–1054CrossRef

13.

Gross AJ, Clark VA (1975) Survival distributions: reliability applications in the biomedical sciences. Wiley-Interscience, New York

14.

Harris CM (1968) The Pareto distribution as a queue service discipline. Oper Res 16(2):307–313CrossRef

15.

Hassan AS, Al-Ghamdi A (2009) Optimum step stress accelerated life testing for Lomax distribution. J Appl Sci Res 5(12):2153–2164

16.

Hassan AS, Abd-Allah M (2017) Exponentiated Lomax geometric distribution: properties and applications. Pak J Stat Oper Res 13(3):545–566CrossRef

17.

Hassan AS, Abd-Allah M (2018) Exponentiated Weibull–Lomax distribution: properties and estimation. J Data Sci 16(2):277–298

18.

Hassan AS, Nassr SG (2018) Power Lomax Poisson distribution: properties and estimation. J Data Sci 18(1):105–128

19.

Hassan AS, Assar SM, Shelbaia A (2016) Optimum step stress accelerated life test plan for Lomax distribution with an adaptive type-II progressive hybrid censoring. Br J Math Comput Sci 13(2):1–19

20.

Helu A, Samawi H, Raqab MZ (2013) Estimation on Lomax progressive censoring using the EM algorithm. J Stat Comput Simul. https://doi.org/10.1080/00949655.2013.861837 CrossRef

21.

Holland O, Golaup A, Aghvami A (2006) Traffic characteristics of aggregated module downloads for mobile terminal reconfiguration. IEE Proc Commun 135(5):683–690CrossRef

22.

Kilany NM (2016) Weighted Lomax distribution. SpringerPlus 5:1–18CrossRef

23.

Lemonte AJ, Cordeiro GM (2013) An extended Lomax distribution. Statistics 47(4):800–816CrossRef

24.

Lomax KS (1954) Business failures: another example of the analysis of failure data. J Am Stat Assoc 49:847–852CrossRef

25.

Nasiri P, Hosseini S (2012) Statistical inferences for Lomax distribution based on record values (Bayesian and classical). J Mod Appl Stat Methods 11:179–188CrossRef

26.

Rady EA, Hassanein WA, Elhaddad TA (2016) The power Lomax distribution with an application to bladder cancer data. SpringerPlus. https://www.ncbi.nlm.nih.gov/pubmed/27818876. Accessed 28 July 2018

27.

Tahir MH, Cordeiro GM, Mansoor M, Zubair M (2015) The Weibull–Lomax distribution: properties and applications. Hacet J Math Stat 44(2):461–480

28.

Tahir MH, Hussain MA, Cordeiro GM, Hamedani GG, Mansoor M, Zubair M (2016) The Gumbel–Lomax distribution: properties and applications. J Stat Theory Appl 15(1):61–79

Titel: On the Inverse Power Lomax Distribution
verfasst von: Amal S. Hassan
Marwa Abd-Allah
Publikationsdatum: 16.11.2018
Verlag: Springer Berlin Heidelberg
Erschienen in: Annals of Data Science / Ausgabe 2/2019
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-018-0183-y

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