TY - JOUR ID - 55714 TI - [0,1] Truncated Fréchet-Weibull and Fréchet Distributions JO - International Journal of Research in Industrial Engineering JA - RIEJ LA - en SN - 2783-1337 AU - Abid, S. AU - Abdulrazak, R. AD - Department of mathematics, Education College, University of Mustansiriyah, Baghdad, Iraq. Y1 - 2018 PY - 2018 VL - 7 IS - 1 SP - 106 EP - 135 KW - 1] TFW KW - [0 KW - 1] TFF KW - Stress-strength model KW - Shannon Entropy KW - Relative entropy DO - 10.22105/riej.2018.100865.1020 N2 - In this paper, we introduce a new family of continuous distributions based on [0, 1] Truncated Fréchet distribution. [0, 1] Truncated Fréchet Weibull ([0, 1] ) and [0, 1] Truncated Fréchet ([0, 1] ) 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]  strength-stress and the [0, 1]  strength-stress models with different parameters will be derived here. The Shannon entropy and Relative entropy will be derived also. UR - https://www.riejournal.com/article_55714.html L1 - https://www.riejournal.com/article_55714_0459bc5cae3ec76f7da643445319dbe2.pdf ER -