# A comparison of methods of estimation of parameters of Tukey's gh family of distributions

A. Mahbubul, A. Majumder, M. Masoon Ali

Research output: Contribution to journalArticle

8 Citations (Scopus)

### Abstract

The gh family of distributions proposed by Tukey (1977) based on a transformation of the standard normal variable does not have any explicit mathematical form. Thus the study of this distribution requires extensive numerical computations. In this paper we study the numerical methods of estimating the parameters g and h. We compare the three methods namely quantile method, method of moments and maximum likelihood method by using simulation technique. We have found that maximum likelihood method is more efficient than the other two methods though it requires much more computational load.

Original language English (US) 135-144 10 Pakistan Journal of Statistics 24 2 Published - Sep 11 2008

### Fingerprint

Maximum Likelihood Method
Method of Moments
Quantile
Numerical Computation
Numerical Methods
Family
Simulation
Standards
Form

### ASJC Scopus subject areas

• Statistics and Probability

### Cite this

A comparison of methods of estimation of parameters of Tukey's gh family of distributions. / Mahbubul, A.; Majumder, A.; Ali, M. Masoon.

In: Pakistan Journal of Statistics, Vol. 24, No. 2, 11.09.2008, p. 135-144.

Research output: Contribution to journalArticle

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