Surles and Padgett [15] introduced two-parameter Burr Type X distribution, which can be described as a generalized Rayleigh distribution. In this paper we consider the estimation of the stress-strength parameter R = P [Y < X], when X and Y are both three-parameter generalized Rayleigh distribution with the same scale and locations parameters but different shape parameters. It is assumed that th...

A new family of distributions called Ristic-Balakhrishnan Odd Burr III-G (RBOB III-G) distribution is proposed. We obtain some mathematical and statistical properties this such as hazard reverse hazardfunctions, quantile function, moments generating functions, conditional moments, Rényi entropy, order statistics, stochastic ordering probability weighted moments. The model parameters are estimat...

A new one-parameter heavy tailed discrete distribution with infinite mean is defined and studied. The probability mass function of the can be "unimodal right skewed" its failure rate monotonically decreasing. Some relevant properties are discussed. characterizations based on: (i) conditional expectation a certain random variable (ii) in terms reversed hazard presented. Different Bayesian non-Ba...

Modeling the distribution of daily and hourly human mobility metrics is beneficial for studying underlying travel patterns. In previous studies, some probability functions were employed in order to establish a base research. However, selection most suitable still challenging task. this paper, we focus on modeling distributions distance, time, speed. The trip data are fitted with several candida...