Modified weighted Pareto distribution type I (MWPDTI)‎

Abstract EN

In this paper, the Azzallini's method used to find a weighted distribution derived from the standard Pareto distribution of type I (SPDTI) by inserting the shape parameter (θ) resulting from the above method to cover the period (0, 1] which was neglected by the standard distribution.

Thus, the proposed distribution is a modification to the Pareto distribution of the first type, where the probability of the random variable lies within the period [k / θ, ∞), k > 0, θ ≥ 1.

┤ The properties of the modified weighted Pareto distribution of the type I (MWPDTI) as the probability density function, cumulative distribution function, Reliability function, Moment and the hazard function are found.

The behaviour of probability density function for MWPDTI distribution by representing the values of x = k / θ This means, the probability density function of this distribution treats the period (0, 1] which is ignore in SPDTI