2020
DOI: 10.31801/cfsuasmas.439069
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A new family of lifetime distributions in terms of cumulative hazard rate function

Abstract: In the present paper, a new family of lifetime distributions is introduced according to cumulative hazard rate function, the well-known concept in survival analysis and reliability engineering. Some important properties of proposed model including survival function, quantile function, hazard function, order statistic and some results of stochastic ordering are obtained in general setting. An especial case of this new family is introduced by considering Weibull distribution as the parent distribution; in additi… Show more

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Cited by 11 publications
(4 citation statements)
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“…In the past few decades, a variety of mathematical computational approaches have been implemented in different research fields such as fluid mechanic engineering [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], chemical engineering , electrical engineering , robotics and automation , urban planning engineering [73][74][75][76], petroleum engineering [77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94], energy engineering [95,96], mathematics [97][98][99][100][101][102][103][104], environmental engineering [105][106]…”
Section: Introductionmentioning
confidence: 99%
“…In the past few decades, a variety of mathematical computational approaches have been implemented in different research fields such as fluid mechanic engineering [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], chemical engineering , electrical engineering , robotics and automation , urban planning engineering [73][74][75][76], petroleum engineering [77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94], energy engineering [95,96], mathematics [97][98][99][100][101][102][103][104], environmental engineering [105][106]…”
Section: Introductionmentioning
confidence: 99%
“…In the past few decades, various advanced computational approaches, e.g., finite element, numerical linear algebra, statistics, numerical analysis, tensor analysis, and artificial intelligence, have been applied in various fields of study, such as fluid mechanic engineering [26][27][28][29][30][31][32][33][34], chemical engineering [35][36][37][38][39][40][41], electrical and computer engineering , petrochemical engineering [73][74][75][76][77], petroleum engineering [78][79][80][81][82][83][84][85][86][87][88][89][90][91][92], mathematics and physics [93][94][95][96][97][98][99][100][101][102], and environmental engineering [103]…”
Section: Mlp Neural Networkmentioning
confidence: 99%
“…The purpose of training a perceptron is to find the values of its weights, so that the perceptron generates the correct values for the training examples. Different kinds of numerical calculations [68][69][70][71][72][73][74][75][76][77][78] and soft computing [79][80][81][82][83][84][85][86] have been used in various fields such as electrical engineering problems [87][88][89][90][91][92][93][94][95][96][97][98][99][100][101][102], computer sciences problems [103,104], and basic sciences [105][106][107][108][109], etc. In this paper, the perceptron learning algorithm is as follows-this algorithm is shown in Figure 4 as a flowchart:…”
Section: Artificial Neural Networkmentioning
confidence: 99%