Formulation multi-double truncated of Rayleigh distribution.

The Rayleigh distribution is one of the most important distributions in analysing data of oceanography, communication, and for modelling wave propagation, radiation, radar, survival function, etc. In this paper, we derived the truncation for multi-subintervals from the original distribution, the type of truncated that us interested in is double truncated (multi double truncated Rayleigh distribution). Several structural statistical properties of multi-double Rayleigh distribution the rth moments, moment generating function, and order statistics, are introduced. The reliability function, hazard rate function, and reversed Hazard function for multi double truncated Rayleigh distribution are obtained. Subintervals (one and two) are deleted of double truncated of Rayleigh distribution have been applied, further their statistical properties. [ABSTRACT FROM AUTHOR]