Modified Maximum Likelihood Estimation: Inverse Half Logistic Distribution

Volume 5 Issue 4 October - December 2016

Research Paper

Modified Maximum Likelihood Estimation: Inverse Half Logistic Distribution

R. Subba Rao*, Pushpa Latha Mamidi**, R. R. L. Kantam***

* Professor, Department of Mathematics, SRKR Engineering College, Bhimavaram, Andhra Pradesh, India.

** Assistant Professor, Department of Mathematics, Vishnu Institute of Technology, Bhimavaram, Andhra Pradesh, India.

*** Retired Professor, Department of Statistics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur, Andhra Pradesh, India.

Rao, R.S., Mamidi, P.L., and Kantam, R.R.L. (2016). Modified Maximum Likelihood Estimation: Inverse Half Logistic Distribution. i-manager’s Journal on Mathematics, 5(4), 11-19. https://doi.org/10.26634/jmat.5.4.8306

Abstract

If a random variable follows a particular distribution, then the distribution of the inverse of that random variable is called inverted distribution. In this paper, the pdf of Inverse Half Logistic Distribution (IHLD) is derived. The mathematical properties of this distribution have been studied. The parameter is estimated from a complete sample using the classical maximum likelihood method. The estimating equations are modified to get simpler and efficient estimators. Two methods of modification are suggested. The sampling characteristics of the modified estimates are also presented for performance comparisons.