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[0, 1] truncated fréchet-gamma and inverted gam-ma distributions

机译：[0，1]截短的伽玛经和反伽玛分布

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In this paper, we introduce a new family of continuous distributions based on [0, 1]] truncated Fréchet distribution. [0, 1]] Truncated Fréchet Gamma ([0, 1]] TFG) and truncated Fréchet inverted Gamma ([0, 1]] TFIG) distributions are discussed as special cases. The cumulative distribution function, the rth moment, the mean, the variance, the skewness, the kurtosis, the mode, the median, the characteristic function, the reliability function and the hazard rate function are obtained for the distributions under consideration. It is well known that an item fails when a stress to which it is subjected exceeds the corresponding strength. In this sense, strength can be viewed as "resistance to failure." Good design practice is such that the strength is always greater than the expected stress. The safety factor can be defined in terms of strength and stress as strength/stress. So, the [0, 1]] TFG strength-stress and the [0, 1]] TFIG strength-stress models with different parameters will be derived here. The Shannon entropy and Relative entropy will be derived also.
机译：在本文中，我们介绍了一个基于[0，1]截断的Fréchet分布的连续分布新族。 [0，1]]截断的FréchetGamma（[0，1]] TFG）和截短的Fréchet反向Gamma（[0，1]] TFIG）分布作为特殊情况进行了讨论。对于所考虑的分布，获得了累积分布函数，r矩，均值，方差，偏度，峰度，众数，中位数，特征函数，可靠性函数和危险率函数。众所周知，当物品承受的应力超过相应强度时，它就会失效。从这个意义上说，力量可以被视为“抵抗失败”。良好的设计规范应使强度始终大于预期的应力。安全系数可以根据强度和应力定义为强度/应力。因此，此处将导出具有不同参数的[0，1]] TFG强度应力模型和[0，1]] TFIG强度应力模型。还将导出香农熵和相对熵。

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