Difference between revisions of "CumBernoulliInv"

Revision as of 19:04, 18 August 2016

CumBernoulliInv(u, p)

The inverse cumulative distribution function for the Bernoulli distribution. Returns the smallest Bernoulli(p) outcome, x, such that the probability of a random variate being less than or equal to x is at least «u».

Both «u» and «p» should be between 0 and 1.

Library

Distribution Densities Library

To use this function, you need to add the Distribution Densities Library to your model.

Examples

CumBernoulliInv(0.5, 0.8) → 1

There is a 0,2 probability of an outcome of 0, which is not "at least" u = 0.5. The probability that the outcome is less than or equal to 1 is 1.0, and 0.0 is at least u = 0.5, so the result here is the outcome 1.

@@ Line 4: / Line 4: @@
 ''new to [[Analytica 5.0]]''
-== CumBernoulliInv( u, p ) ==
+== CumBernoulliInv(u, p) ==
-The inverse cumulative distribution function for the [[Bernoulli]] distribution.  Returns the smallest <code>[[Bernoulli]](«p»)</code> outcome, x, such that the probability of a random variate being less than or equal to x is at least «u».
+The inverse cumulative distribution function for the [[Bernoulli]] distribution.  Returns the smallest [[Bernoulli]](p) outcome, ''x'', such that the probability of a random variate being less than or equal to ''x'' is at least «u».
 Both «u» and «p» should be between 0 and 1.
@@ Line 18: / Line 18: @@
 == Examples ==
-:<code>[[CumBernoulliInv]]( 0.5, 0.8 )<code> &rarr; 1
+:<code>CumBernoulliInv(0.5, 0.8) &rarr; 1</code>
-There is a 0,2 probability of an outcome of 0, which is not "at least" u=0.5. The probability that the outcome is less than or equal to 1 is 1.0, and 0.0 is at least u=0.5, so the result here is the outcome 1.
+There is a 0,2 probability of an outcome of 0, which is not "at least" u = 0.5. The probability that the outcome is less than or equal to 1 is 1.0, and 0.0 is at least u = 0.5, so the result here is the outcome 1.
 == See Also ==