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The most commonly studied generalized normal distribution is the well-known skew-normal by Azzalini. In this paper, a new generalized normal distribution is defined and studied. The distribution is unimodal and it can be skewed right or left. The relationships between the parameters and the mean, variance, skewness, and kurtosis are discussed. It is observed that the new distribution has a much wider range of skewness and kurtosis than the skew-normal distribution. The method of maximum likelihood is proposed to estimate the distribution parameters. Two real data sets are applied to illustrate the flexibility of the distribution. [ABSTRACT FROM AUTHOR]

In this article, a new Weibull-Pareto distribution based on the quantile of log-logistic distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal or bimodal and it can be skewed to the right or skewed to the left. The relationships between the parameters and the mean, variance, skewness, and kurtosis are discussed. The expressions for the moments, mean deviation, and entropy are obtained. The method of maximum likelihood is proposed to estimate the parameters of the distribution. Two real data sets are applied to illustrate the flexibility of the distribution. [ABSTRACT FROM AUTHOR]

In this paper, a four-parameter beta-Pareto distribution is defined and studied. Various properties of the distribution are discussed. The distribution is found to be unimodal and has either a unimodal or a decreasing hazard rate. The expressions for the mean, mean deviation, variance, skewness, kurtosis and entropies are obtained. The relationship between these moments and the parameters are provided. The method of maximum likelihood is proposed to estimate the parameters of the distribution. The distribution is applied to two flood data sets. [ABSTRACT FROM AUTHOR]