Author(s):
1. I. Elbatal:
Department of Mathematics and Statistics, Al Imam Mohammad Ibn Saud Islamic University, Saudi Arabia; Department of Mathematical Statistics, Institute of Statistical Studies and Research, Cairo University
2. Mohamed G. Khalil:
Department of Statistics, Mathematics and Insurance Benha University, Egypt
Abstract:
A new four-parameter distribution called the beta Lindley-geometric distribution is proposed. The hazard rate function of the new model can be constant, decreasing, increasing, upside down bathtub or bathtub failure rate shapes. Various structural properties including of the new distribution are derived. The estimation of the model parameters is performed by maximum likelihood method. We present simulation results to assess the performance of the maximum likelihood estimation.The usefulness of the new distribution is illustrated using a real data set.
Page(s):
249-263
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 2, Year: 2019
Keywords:
maximum likelihood estimation
,
Moments
,
moment generating function
,
Lindleygeometric distribution
References:
References are not available for this document.
Citations
Citations are not available for this document.