Journal
STATISTICS AND ITS INTERFACE
Volume 12, Issue 4, Pages 585-597Publisher
INT PRESS BOSTON, INC
DOI: 10.4310/SII.2019.v12.n4.a8
Keywords
Birnbaum-Saunders distribution; ECM-algorithm; Lindley distribution; Normal mean-variance mixture distribution
Funding
- National Research Foundation, South Africa [CPRR160403161466, 105840]
- National Research Foundation, South Africa (STATOMET)
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The generalization of Birnbaum-Saunders (BS) distribution has recently received considerable attention to provide accurate inferential results in dealing with survival data, reliability problems, fatigue life studies and hydrological data. This paper introduces a new extension of the BS distribution based on the normal mean-variance mixture of Lindley distribution. Since the proposed lifetime distribution can take positive and negative skewness and can have decreasing, increasing, upside-down bathtub, increasing-decreasing-increasing and decreasing-increasing-decreasing hazard rate functions, it may provide more flexible model than the existing extensions of BS distribution. Some properties of the new distribution are derived and the computationally analytical EM-type algorithm is developed for computing maximum likelihood estimates. Finally, the performance of the proposed methodology is illustrated through analyzing two real data sets.
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