Mixture of Two LindleyProbability Models And Application In Reliability

Ehtesham Husain, Masood ul Haq

Abstract


Mixture probability models are developed in general
from Uni variate Probability functions (say)
g1 (x) and g2 (x) . The mixture of these two is defined by
f(x)  p.g1 (x)  (1  p) g2 (x) where “p” is the mixing
ratio. The function that we have in the present paper is the
Mixture of two Lindley probability distributions, each of
which is having a different parameter. Lindley models are
also useful for data showing decaying trends. The properties
of Lindley probability distribution that have been shown
are Mathematical Expectation, Second Moment, and the
Distribution Function. An application of the Mixture Model
which has been derived in the present research , has been
applied to the Reliability function , in a two component
system , when the components are connected in series. The
Reliability of the discussed system is compared with
reliability values when the Lindley probabilities in the same
system , are independent.


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DOI: http://dx.doi.org/10.22555/pjets.v4i2.263

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Chief Editor

Prof. Dr. Tariq Rahim Soomro 
Dean
College of Computer Science & Information Systems

Editor

Dr. Muhammad Mansoor Alam
 Professor and Associate Dean
 College of Computer Science & Information Systems

Associate Editors

Engr. Syed Mubashir Ali
Senior Lecturer & Course Coordinator
College of Computer Science & Information Systems

Publication Coordinator
Humaira Kanwal

Editorial Advisory Board (Internal)

Dr. Syed Irfan Hyder
Dr. S.M. Aqil Burney
Dr. Ejaz Ahmed
Dr. Mohammad Irshad Khan
Dr. Shahid Amjad
Dr. Fatima Riaz
Dr. Insia Hussain
Dr. Dr. Ehsan Rehman
Dr. Imran Majid
Dr. Khurram Iqbal
Dr. Zeeshan Shahid
Dr. Seema Ansari
Dr. Sumaira Khan

 

Editorial Advisory Board (International)

Prof. Dr. Mazliham Mohd Su'ud, President, Universiti Kuala Lumpur, Malaysia
Prof. Dr. Ghassan Al-Qaimari, President, Emirates College of Technology, Abu Dhabi, UAE
Prof. Dr. Patrice Boursier, Universite de La Rochelle, La Rochelle, France
Prof. Dr. Mudassir Uddin, Professor, University of Karachi, Pakistan
Dr. Nadeem Doudpota, Associate Professor, Al-Baha University, KSA
Dr. Haithem Abdelrazaq Almefleh, Associate Professor, Yarmouk University, Yarmouk, Jordan
Dr. Saiful Islam Ansari, Assistant Professor, University of Tabuk, Saudi Arabia