Tilted Normal Distribution and Its Survival Properties

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 dierent 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.