Sankhya: The Indian Journal of Statistics

2000, Volume 62, Series A, Pt. 2, 258--266

GENERALIZED AGEING CLASSES IN TERMS OF LAPLACE TRANSFORMS

By

ASOK K. NANDA, Panjab University, Chandigarh

SUMMARY. Using Laplace transform, various reliability classes have been characterized by different researchers. In this paper, we have characterized the general ageing classes (viz. s-IFR, s-IFRA, s-NBU and their duals), using Laplace transform, by means of necessary and sufficient conditions so that most of the existing Laplace transform characterization of ageing classes follow as particular cases.

AMS (1991) subject classification. Primary 60K10; Secondary 62N05.

Key words and phrases. Positive ageing and negative ageing properties; Laplace transform; Variation diminishing property; Log-concavity.

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