Tilted Normal Distribution and Its Survival Properties

[摘要] To analyze skewed data, skew normal distribution is proposed by Azzalini (1985). For practical problems of estimating the skewness parame ter of this distribution, Gupta and Gupta (2008) suggested power normal dis tribution as an alternative. We search for another alternative, named tilted normal distribution following the approach of Marshall and Olkin (1997) to add a positive parameter to a general survival function and taking survival function is of normal form. We have found out different properties of this distribution. Maximum likelihood estimate of parameters of this distribu tion have been found out. Comparison of tilted normal distribution with skew normal and power normal distribution have been made.

[学科分类] 土木及结构工程学

[关键词] Akaike information criterion;compound distribution;failure rate