The Discrete Power Half-Normal Distribution

Abstract

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.

Keywords

• bathtub failure rate
• discrete power
• half-normal distribution
• increasing failure rate
• maximum likelihood estimation