The Discrete Power Half-Normal Distribution
DOI:
https://doi.org/10.6092/issn.1973-2201/11050Keywords:
Bathtub failure rate, Discrete power, Half-Normal distribution, Increasing failure rate, Maximum likelihood estimationAbstract
The discrete power half-normal distribution is introduced, as the discretization of the power halfnormal distribution, based on the difference of values of the continuous survival function. The discrete distribution has a bathtub shaped failure rate or an increasing failure rate. Some statistical properties are proved. Maximum likelihood estimation is studied. A simulation study shows the good asymptotic behaviour of the maximum likelihood estimates. Applications to reliability and lifetime data are provided.
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