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LEHMANN TYPE II GENERALIZED HALF LOGISTIC DISTRIBUTION: PROPERTIES AND APPLICATION

Phillip Oluwatobi Awodutire, Ethelbert Chinaka Nduka, Maxwell Azubike Ijomah

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Abstract

In this study, a new four parameter distribution called the Lehmann type II generalized half logistic distribution was derived. The statistical properties of the Lehmann type II generalized half logistic distribution were studied. Estimates of the parameters of the new distribution under complete and censored observations would be obtained using the maximum likelihood estimation method. Simulation studies were carried out to assess the consistency of the maximum likelihood estimates. Application of the new distribution to a data showed that it performed better than the type I generalized half logistic distribution Keywords: distribution, censored, estimates, parameters, function, observation, Lehmann type II.

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What this paper is about

In this study, a new four parameter distribution called the Lehmann type II generalized half logistic distribution was derived. The statistical properties of the Lehmann type II generalized half logistic distribution were studied. Estimates of the parameters of the new distribution under complete and censored observations would be obtained using the maximum likelihood estimation method. Simulation studies were carried out to assess the consistency of the maximum likelihood estimates. Application of the new distribution to a data showed that it performed better than the type I generalized half logistic distribution Keywords: distribution, censored, estimates, parameters, function, observation, Lehmann type II.

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Available abstract

In this study, a new four parameter distribution called the Lehmann type II generalized half logistic distribution was derived. The statistical properties of the Lehmann type II generalized half logistic distribution were studied. Estimates of the parameters of the new distribution under complete and censored observations would be obtained using the maximum likelihood estimation method. Simulation studies were carried out to assess the consistency of the maximum likelihood estimates. Application of the new distribution to a data showed that it performed better than the type I generalized half logistic distribution Keywords: distribution, censored, estimates, parameters, function, observation, Lehmann type II.

Key concepts: Mathematics, Logistic distribution, Statistics, Consistency (knowledge bases), Logistic regression, Distribution (mathematics), Maximum likelihood, Type (biology)

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