Find Mean Residual Life of a bounded variable
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Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
I want to evaluate the following integral:
[ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]
integration
asked Nov 12 at 13:18
Student
34
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up vote
-2
down vote
favorite
Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
I want to evaluate the following integral:
[ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]
integration
asked Nov 12 at 13:18
Student
34
add a comment |
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
I want to evaluate the following integral:
[ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]
integration
asked Nov 12 at 13:18
Student
34
Define [ Sleft( xright) = 1- exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0.]
Let [ fleft( xright) =frac{alpha beta}{x^{beta+1}} exp left[ -alphaleft( x^{-beta}-1right) right], 00; beta>0. ]
I want to evaluate the following integral:
[ mleft( tright) =frac{int_{t}^{1}ufleft( uright) }{Sleft( tright)}-t ]
integration
integration
asked Nov 12 at 13:18
Student
34
asked Nov 12 at 13:18
Student
34
edited 19 hours ago
asked Nov 12 at 13:18
Student
34
asked Nov 12 at 13:18
Student
34
asked Nov 12 at 13:18
Student
34
34
add a comment |
add a comment |
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