The Marshall-Olkin Modified Lindley Distribution: Properties and Applications

Authors

  • Jiju Gillariose Department of Statistics, St.Thomas College, Pala, Kerala, India
  • Lishamol Tomy Department of Statistics, Deva Matha College, Kuravilangad, Kerala, India
  • Farrukh Jamal Department of Statistics, The Islamia University, Bahawalpur 63100, Pakistan
  • Christophe Chesneau Université de Caen, LMNO, Campus II, Science 3, Caen, 14032, France

DOI:

https://doi.org/10.13052/jrss0974-8024.1319

Keywords:

Data analysis, marshall-olkin generalization, modified lindley distribution

Abstract

This article is devoted to a new Marshall-Olkin distribution by using a recent modification of the Lindley distribution. Mathematical features of the new model are described. Utilizing maximum likelihood method, the parameters of the new model are estimated. Performance of the estimation approach is discussed by means of a simulation procedure. Moreover, applications of the new distribution are presented which reveal its superiority over other three competing Marshall-Olkin extended distributions of the literature.

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Author Biographies

Jiju Gillariose, Department of Statistics, St.Thomas College, Pala, Kerala, India

Jiju Gillariose is a Research Scholar in the department of Statistics at St. Thomas College, Pala, Kerala, India affiliated to MG University, Kottayam. Her research deals with Distribution Theory, Data Analysis, Time Series and Statistical Quality Control.

Lishamol Tomy, Department of Statistics, Deva Matha College, Kuravilangad, Kerala, India

Lishamol Tomy, Ph.D., is an Assistant Professor in the Department of Statistics, Deva Matha College Kuravilangad, Kerala State, South India. She is an approved Doctoral Research Supervisor of Mahatma Gandhi University Kottayam, in the Research Centre of Statistics, St. Thomas College Pala. She is a winner of the Jan Tinbergen Award for the Young Statisticians instituted by the International Statistical Institute, Netherlands. Her research interests are in Distribution Theory, Statistical Inferences, Time Series and Data Analysis.

Farrukh Jamal, Department of Statistics, The Islamia University, Bahawalpur 63100, Pakistan

Farrukh Jamal is currently Assistant Professor in the Department of Statistics, The Islamia University, Bahawalpur 63100, PAKISTAN. He worked as a lecturer in Government S.A. postgraduate College in 2012 to 2020, and Statistical Officer in Agriculture Department from 2007 to 2012. He received MSc and MPhil degrees in Statistics from the Islamia University of Bahawalpur (IU), Pakistan in 2003 and 2006. He has recently received PhD from IUB under the supervision of Dr. M. H. Tahir. He has 118 publications in his credit.

Christophe Chesneau, Université de Caen, LMNO, Campus II, Science 3, Caen, 14032, France

Christophe Chesneau, PhD in the field of applied mathematics specialising in statistics, at LPMA, University Paris 6, France. Christophe is working as specialist Statistics in the Department of Mathematics, LMNO, University of Caen Normandie. His research interests are in the areas of Statistical Inference, Nonparametric Statistics, Integer-Valued Time Series and Data Analysis.

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Published

2020-10-28

How to Cite

Gillariose, J. ., Tomy, L. ., Jamal, F. ., & Chesneau, C. . (2020). The Marshall-Olkin Modified Lindley Distribution: Properties and Applications. Journal of Reliability and Statistical Studies, 13(01), 177–198. https://doi.org/10.13052/jrss0974-8024.1319

Issue

2020: Vol 13 Iss 1

Section

Articles