Determination of Hazard Rate Shape for Discrete Lives

There have been several works aimed at the determination of the shape of the hazard rate when lifetime is treated as continuous. In the present work, we establish some theorems, that enable the identification of the nature of discrete hazard rates. Further, some applications of the results to construct new discrete bathtub-shaped distributions are also proposed.

[1]  Magne Vollan Aarset,et al.  How to Identify a Bathtub Hazard Rate , 1987, IEEE Transactions on Reliability.

[2]  Munir Ahmad,et al.  DISCRETE INVERSE RAYLEIGH DISTRIBUTION , 2014 .

[3]  R. Jiang,et al.  Discrete competing risk model with application to modeling bus-motor failure data , 2010, Reliab. Eng. Syst. Saf..

[4]  M. B. Rajarshi,et al.  Bathtub distributions: a review , 1988 .

[5]  M. Shafaei Noughabi,et al.  Some Discrete Lifetime Distributions with Bathtub-Shaped Hazard Rate Functions , 2013 .

[6]  Ronald E. Glaser,et al.  Bathtub and Related Failure Rate Characterizations , 1980 .

[7]  Ramesh C. Gupta,et al.  DETERMINATION OF CHANGE POINTS OF NON-MONOTONIC FAILURE RATES , 2001 .

[8]  Saralees Nadarajah,et al.  A New Discrete Modified Weibull Distribution , 2014, IEEE Transactions on Reliability.

[9]  Gholam Reza Mohtashami Borzadaran,et al.  Discrete modified Weibull distribution , 2011 .

[10]  Evdokia Xekalaki,et al.  Hazard Functions and Life Distributions in Discrete Time , 1983 .

[11]  M. E. Ghitany The monotonicity of the reliabilitymeasures of the beta distribution , 2004, Appl. Math. Lett..

[12]  Chin-Diew Lai,et al.  A discrete inverse Weibull distribution and estimation of its parameters , 2010 .

[13]  D. Cox,et al.  Analysis of Survival Data. , 1985 .

[14]  Chin-Diew Lai,et al.  The discrete additive Weibull distribution: A bathtub-shaped hazard for discontinuous failure data , 2012, Reliab. Eng. Syst. Saf..

[15]  Ram C. Tripathi,et al.  On the monotonic properties of discrete failure rates , 1997 .