A new bathtub shaped failure rate model: properties, and applications to engineering sector | [Pakistan Journal of Statistics • 2021]

Author(s):

1. Muhammad Zeshan Arshad: Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan.

2. Muhammad Zafar Iqbal: Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan.

3. Asad Anees: Institute of Mathematics, Clausthal University of Technology, Erzstraße 1, D-38678 Clausthal-Zellerfeld, Germany.

4. Zahoor Ahmad: Department of Mathematics and Statistics, University of Lahore, Sargodha Campus, Pakistan.

5. Oluwafemi Samson Balogun: School of Computing, University of Eastern Finland

Abstract:

In this paper, we proposed a new model, capable of modeling against the bathtub shaped failure rate phenomena, referred to as the Lehmann-II Muhammad (L-II-M) distribution. We derived some mathematical and reliability characteristics developed some explicit expressions for the moments, quantile function, and order statistics. We suggested a method of maximum likelihood estimator for the estimation of model parameters, and a simulation study was recommended to observe the asymptotic behavior of MLEs. The strength of L-II-M distribution was affirmed by modeling in two suitable lifetime engineering datasets.

Page(s): 57-80

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 37, Issue: 1, Year: 2021

Keywords:

Simulation , Moments , Maximum likelihood estimation , LehmannII Distribution , Mustapha TypeI Distribution , Oder Statistics , Failure Rate Function

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