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InverseSurvivalFunction

InverseSurvivalFunction
gives the inverse of the survival function for the symbolic distribution dist as a function of the variable q.
  • The inverse survival function at q is equivalent to the ^(th) quantile of a distribution.
  • For a continuous distribution dist, the inverse survival function at q is the value x such that SurvivalFunction[dist, x]=q.
  • For a discrete distribution dist, the inverse survival function at q is the smallest integer x such that SurvivalFunction[dist, x]≤q.
  • The value q can be symbolic or any number between 0 and 1.
Inverse survival function for a continuous univariate distribution:
Inverse survival function for a discrete univariate distribution:
Inverse survival function for a continuous univariate distribution:
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Inverse survival function for a discrete univariate distribution:
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Obtain exact numeric results:
Obtain a machine-precision result:
Obtain a result at any precision for a continuous distribution:
Obtain a symbolic expression for the inverse survival function:
Quadratic transformation of an exponential distribution:
Truncated distribution:
Inverse survival function for nonparametric distributions:
Compare with the value for the underlying parametric distribution:
Plot the survival function for a histogram distribution:
InverseSurvivalFunction threads element-wise over lists:
Plot the inverse survival function for a standard normal distribution:
Plot the inverse survival function for a binomial distribution:
Generate a random number from a distribution:
InverseSurvivalFunction and SurvivalFunction are inverses for continuous distributions:
Compositions of InverseSurvivalFunction and SurvivalFunction give step functions for a discrete distribution:
InverseSurvivalFunction is equivalent to InverseCDF for distributions:
Symbolic closed forms do not exist for some distributions:
Numerical evaluation works:
Substitution of invalid values into symbolic outputs gives results that are not meaningful:
When giving the input as an argument, complete checking is done:
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