Volume : V, Issue : V, May - 2016

A STATISTICAL STUDY WITH CHANGE POINT MODEL IN RELATION WITH WATER QUALITY ANALYSIS

Maitreya N. Acharya

Abstract :

 Here, we propose a model with a change point, where the error distribution is suppose to be changing exponentially. Since, the errors are assumed to be distributed as exponential; we term it as a model with “exponential errors”. This model can be used as a model for water quality analysis. Later, an independent sequence X1, X2, . . ., Xm, Xm+1, . . . , Xn was observed from the Non–Standard mixture of Exponential and Degenerate Distribution, with reliability R1τ at time t, with proportion p1 and θ1 but later it was found that there was a change in the system at some point of time ‘m’ and this is reflected in the sequence after Xm by change in reliability R2τ at time t, with proportion p2 and θ2. This distribution occurs in many practical situations. For instance; we consider the statistical analysis of several closely related models arising in water quality analysis, where this model is significantly applicable. Apart from mixture distributions, the phenomenon of change point is also observed in several situations in life testing and reliability estimation problems. The estimators of m, R1 (t) and R2 (t) are derived under Linex Loss Functions & General Entropy Loss Functions. The effects of prior consideration on Bayes Estimates of the change point are also studied.

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Maitreya N. Acharya A STATISTICAL STUDY WITH CHANGE POINT MODEL IN RELATION WITH WATER QUALITY ANALYSIS International Journal of Scientific Research, Vol : 5, Issue : 5 MAY 2016

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