TITLE:
Modelling and Assessment of Survival Probability of Shock Model with Two Kinds of Shocks
AUTHORS:
Surekha B. Munoli, Suhas
KEYWORDS:
Damages, Life Testing Experiment, Newton-Raphson Method, Poisson Process, Shock Models, Survival Probability
JOURNAL NAME:
Open Journal of Statistics,
Vol.9 No.4,
August
13,
2019
ABSTRACT: The study aims at modelling and assessment of survival probability of a
component experiencing two kinds of shocks namely, damage shock and fatal
shock. Shocks are occurring randomly in time as events of a Poisson Process.
The two cases of fixed/random threshold of components are studied. Survival
probabilities of proposed models are derived. Maximum likelihood estimators
(MLEs) of survival probabilities are obtained using the data from life testing
experiments. Fisher information and asymptotic distribution of MLEs of parameters
are obtained when a constant threshold is considered. Computation and
comparison of estimators of two cases (constant threshold and random threshold)
are made through simulation studies. The study recommends the consideration of
threshold as a random variable.