Bulletin of Pure and Applied Sciences Section - E - Mathematics & Statistics
  • Year: 2020
  • Volume: 39e
  • Issue: 1

Reliability properties of compound Rayleigh lifetime distribution-I*

1Department of Statistics, University College of Science, Osmania University, Hyderabad-500 007, Telangana, India

2Department of Statistics, University College of Science, Osmania University, Hyderabad-500 007, Telangana, India

Corresponding author G. Sirisha, E-mail: siri gadi@yahoo.co.in

*E-mail: swamy rjr@rediff.com

Online published on 14 August, 2020.

Abstract

Abstract Sirisha and Jayasree (Sirisha, G. and Jayasree, G., “Compound Rayleigh lifetime distribution-I” EPH - International Journal of Mathematics and Statistics, 4(2), 43–52, (2018)) studied the basic assumptions, properties and derivation of the compound Rayleigh lifetime distribution-I. In this paper some special reliability properties of this compound Rayleigh lifetime distribution-I are derived. These properties can be used in statistical quality control and reliability analysis. The derived results are illustrated with a practical example.

Keywords

Reliability function, Hazard function, Rayleigh distribution, Compound Rayleigh lifetime distribution-I, 60K20, 62N05