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- Chi-square << CPN Tools Homepage

square Function for generating values from chi square distributions Interface chisq n int real where n 1 It returns a drawing from a chi square distribution with n degrees of freedom The sum of the squares of n independent normally distributed random variables with mean 0 0 and standard deviation 1 0 is a chi squared distribution with n degrees of freedom It raises Chisq exception if n 1 Characteristics

Original URL path: http://cpntools.org/documentation/tasks/performance/random/chisq (2016-04-26)

Open archived version from archive - Discrete << CPN Tools Homepage

modify book 28 page s Help Discrete Function for generating values from discrete uniform distributions Interface discrete a int b int int where a b Returns a drawing from a discrete uniform distribution between a and b a and b included Raises Discrete exception if a b Characteristics Mean a b 2 Variance b a 1 2 1 12 Probability mass functions for discrete uniform distributions Example discrete 1 6

Original URL path: http://cpntools.org/documentation/tasks/performance/random/discrete (2016-04-26)

Open archived version from archive - Erlang << CPN Tools Homepage

real where n 1 and r 0 0 Returns a drawing from an n Erlang distribution with intensity r A drawing from an n Erlang distribution can be derived by addition of n drawings from a exponential distribution Raises Erlang exception if n 1 or r 0 0 Characteristics Mean n r Variance n r 2 Density functions for n Erlang distributions Example erlang 100 50 0 A shop gives

Original URL path: http://cpntools.org/documentation/tasks/performance/random/erlang (2016-04-26)

Open archived version from archive - Gamma << CPN Tools Homepage

Home Download Getting Started Documentation Support Contact Book creator Add this page to your book Book creator Remove this page from your book Show modify book 28 page s Help Gamma Note Introduced in CPN Tools 3 2 2 Interface gamma l real k real real where l k 0 0 Returns a drawing from a gamma distribution with parameters l and k Raises Gamma exception if k 0 0

Original URL path: http://cpntools.org/documentation/tasks/performance/random/gamma (2016-04-26)

Open archived version from archive - Normal << CPN Tools Homepage

page s Help Normal Interface normal n real v 2 real real Returns a drawing from a normal distribution with mean n and variance v Raises Normal exception if v 0 0 Characteristics Mean n Variance v Density functions for normal distributions Example normal 505 0 4 0 A factory produces chocolate in packages of 500 grams The amount of chocolate in each package has a normal distribution with mean

Original URL path: http://cpntools.org/documentation/tasks/performance/random/normal (2016-04-26)

Open archived version from archive - Poisson << CPN Tools Homepage

page from your book Show modify book 28 page s Help Poisson Interface poisson m real int where m 0 0 Returns a drawing from a Poisson distribution with intensity m Raises Poisson exception if m 0 0 Characteristics Mean m Variance m Probability mass functions for Poisson distributions Example poisson 100 0 A company has a network with a certain load Each second an average of 100 packets is

Original URL path: http://cpntools.org/documentation/tasks/performance/random/poisson (2016-04-26)

Open archived version from archive - Rayleigh << CPN Tools Homepage

page to your book Book creator Remove this page from your book Show modify book 28 page s Help Rayleigh Note Introduced in CPN Tools 3 4 0 Interface rayleigh s real real where s 0 0 Returns a drawing

Original URL path: http://cpntools.org/documentation/tasks/performance/random/rayleigh (2016-04-26)

Open archived version from archive - Student << CPN Tools Homepage

s Help Student Interface student n int real where n 1 Returns a drawing from a Student distribution also called t distribution with n degrees of freedom Note that as n increases the Student density approaches the normal density Indeed even for n 8 the Student density is almost the same as the normal density Raises Student exception if n 1 Characteristics Mean 0 Variance 1 n 2 Density functions

Original URL path: http://cpntools.org/documentation/tasks/performance/random/student (2016-04-26)

Open archived version from archive