scipy.stats.fatiguelife () — continuous random variable for fatigue (Birnbaum-Sanders), which is defined by a standard format and some form parameters to complete its specification.

Parameters:
q: lower and upper tail probability
x: quantiles
loc: [optional] location parameter. Default = 0
scale: [optional] scale parameter. Default = 1
size: [tuple of ints, optional] shape or random variates.
moments: [optional] composed of letters [’mvsk ’]; ’m’ = mean, ’v’ = variance, ’s’ = Fisher’s skew and ’k’ = Fisher’s kurtosis. (default = ’mv’).Results: fatigue-life (Birnbaum-Sanders) continuous random variable
Code # 1: Generating a continuous random fatigue life
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Output:
RV: "scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D567B8400"
Code # 2: Random Variations in Fatigue and Probability Distribution.
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Output:
Random Variates: [1.5759368 1.73788302 2.31297609 1.0005871 1.49635022 11.98492239 2.51785146 4.0096255 0.5654246 0.97502712 ] Probability Distribution: [3.74431292e-278 2.59381847e-002 6.41771315e-001 9.56754833e-001 9.63413710e-001 8 .86691481e-001 7.98585419e-001 7.17860186e-001 6.48103032e-001 5.88743459e-001]
Code # 3: Graphic representation.
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Output:
Distribution: [0. 0.06122449 0.12244898 0.18367347 0.24489796 0.30612245 0.36734694 0.42857143 0.48979592 0.55102041 0.6122449 0.67346939 0.73469388 0.79591837 0.85714286 0.91836735 0.97959184 1.04081633 1.10204082 1.16326531 1.2244898 1.28571429 1.34693878 1.40816327 1.46938776 1.53061224 1.59183673 1.65306122 1.71428571 1.7755102 1.83673469 1.89795918 1.95918367 2.02040816 2.08163265 2.14285714 2.20408163 2.26530612 2.32653061 2.3877551 2.44897959 2.51020408 2.57142857 2.63265306 2.69387755 2.75510204 2.81632653 2.87755102 2.93877551 3. ]
Code # 4: Various Positional Arguments
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Output:
