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 - http://www.riejournal.com/article_55714.html
L1 - http://www.riejournal.com/article_55714_0459bc5cae3ec76f7da643445319dbe2.pdf
ER -