Sunoj, S M; Unnikrishnan Nair, N(Calcutta: The Association,[1947]-, June , 1999)
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Abstract:
In this paper, a family of bivariate distributions whose marginals are weighted
distributions in the original variables is studied. The relationship between the failure rates
of the derived and original models are obtained. These relationships are used to provide
some characterizations of specific bivariate models
Description:
Bulletin of the Calcutta Statistical Association,Vol 57 (227-228),pp 179-194
Inthis paper,we define partial moments for a univariate continuous random
variable. A recurrence relationship for the Pearson curve using the partial moments is
established. The interrelationship between the partial moments and other reliability
measures such as failure rate, mean residual life function are proved. We also prove
some characterization theorems using the partial moments in the context of length
biased models and equilibrium distributions
Description:
METRON - International Journal of Statistics
2004, vol. LXII, n. 3, pp. 353-362
Sunoj, S M; Sankaran, P G(Springer, August 6, 2002)
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Abstract:
In this paper, we study the relationship between the failure rate and the
mean residual life of doubly truncated random variables. Accordingly, we
develop characterizations for exponential, Pareto 11 and beta distributions.
Further, we generalize the identities for fire Pearson and the exponential
family of distributions given respectively in Nair and Sankaran (1991) and
Consul (1995). Applications of these measures in file context of lengthbiased
models are also explored