Author(s):
1. Muhammad Shuaib Khan:
School of Mathematical and Physical Sciences The University of Newcastle,Callaghan, NSW 2308,Australia.
2. Robert King:
School of Mathematical and Physical Sciences
The University of Newcastle, Callaghan, NSW 2308, Australia.
3. Irene Lena Hudson:
School of Mathematical and Physical Sciences
The University of Newcastle, Callaghan, NSW 2308, Australia.
Abstract:
This paper introduces the transmuted new generalized inverse Weibull distribution by using the quadratic rank transmutation map (QRTM) scheme studied by Shaw et al. (2007). The proposed model contains twenty three lifetime distributions as special sub-models. Some mathematical properties of the new distribution are formulated, such as quantile function, Rényi entropy, mean deviations, moments, moment generating function and order statistics. The method of maximum likelihood is used for estimating the model parameters. We illustrate the flexibility and potential usefulness of the new distribution by means of two real data sets.
Page(s):
277-296
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 2, Year: 2017
Keywords:
Order Statistics
,
Maximum likelihood estimation
,
Moment estimation
,
Keywords New generalized inverse Weibull distribution
,
Moment Generating function
References:
References are not available for this document.
Citations
Citations are not available for this document.