PSI - Issue 47

Mohammed Lamine Moussaoui / Procedia Structural Integrity 47 (2023) 932–937 Mohammed Lamine Moussaoui / Structural Integrity Procedia 00 (2023) 000–000 using the least squares method Moussaoui � 2022 � . The data values are plotted on the Bellaouar and Beleulmi � 2013 � . 933 2

Figure 1. Data Values on the 2. Method Probabilistic law is very suitable to fit arbitrary statistical data obtained in general from performed computations. A random variable is distributed with the law if its density function is defined by: � � � � � � �� � � � ��� �� �� � � � � � 1 � The time � , ��� � � is also called probability density function in Naess and Moan � 2013 � Where is the shape parameter, is the position parameter and is the scale parameter The probability of failure function is: � � � 1 � �� ��� � � � And the reliability function is: � � � �� ��� � � � Such that: � � � � � 1 � ��