gives the inverse of the survival function for the distribution dist as a function of the variable q.
- The inverse survival function at q is equivalent to the (1-q) 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.
Examplesopen allclose all
Basic Examples (2)
Parametric Distributions (4)
Derived Distributions (3)
Quadratic transformation of an exponential distribution:
InverseSurvivalFunction for distributions with quantities:
Nonparametric Distributions (2)
Random Processes (2)
InverseSurvivalFunction for the SliceDistribution of a random process:
Find the InverseSurvivalFunction of TemporalData at some time t=0.5:
Find the InverseSurvivalFunction for a range of times together with all the simulations:
Generalizations & Extensions (1)
InverseSurvivalFunction threads element-wise over lists:
Properties & Relations (3)
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:
Wolfram Research (2010), InverseSurvivalFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/InverseSurvivalFunction.html.
Wolfram Language. 2010. "InverseSurvivalFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InverseSurvivalFunction.html.
Wolfram Language. (2010). InverseSurvivalFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InverseSurvivalFunction.html