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Dealing with phenomena is developing rapidly as a result of the evaluation of the phenomena themselves. Some phenomena benefit us from the maximum values within a certain period as a variable, for example the highest electricity load, the largest stretch of the beach, the longest period of a specific disease in the patient’s body and so on. In this paper, we present the distribution of Maximum order statistic from doubly truncated Inverted Gamma distribution (MOSDTIGD). The rth raw moments function form derives for new density. Stress-strength reliability, Shannon and relative entropies have also been discussed.

The maximum order statistic of doubly truncated Inverted Gamma distribution