LCTCDF

LCTCDF (LET)

Library Function

Compute the leads in coin tossing cumulative distribution function.

The formula for the leads in coin tossing probability mass function is

with n a non-negative integer denoting the shape parameter.

The cumulative distribution function is computed by summing the probability mass function.

LET <y> = LCTCDF(<x>,<n>)             <SUBSET/EXCEPT/FOR qualification>
where <x> is a variable, a number, or a parameter containing values between 0 and <n>;
            <n> is a number or parameter that defines the upper limit of the leads in coin tossing distribution;
            <y> is a variable or a parameter (depending on what <x> is) where the computed cdf value is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET A = LCTCDF(3,20)
LET Y = LCTCDF(X,100)

None

None

LCTPDF	= Compute the leads in coin tossing probability mass function.
LCTPPF	= Compute the leads in coin tossing percent point function.
DISPDF	= Compute the discrete uniform probability mass function.
MATPDF	= Compute the matching probability mass function.
LOSPDF	= Compute the lost games probability mass function.
ARSPDF	= Compute the arcsine probability density function.
BETPDF	= Compute the beta probability density function.
UNIPDF	= Compute the uniform probability mass function.

Johnson, Kotz, and Kemp (1992), "Univariate Discrete Distributions", Second Edition, Wiley, pp. 274-275.

Feller (1957), "Introduction to Probability Theory", Third Edition, John Wiley and Sons, pp. 78-84.

Distributional Modeling

2006/6

 
TITLE CASE ASIS
TITLE Leads in Coin Tossing Cumulative Distribution ...
      Function CR() (N = 50)
LABEL CASE ASIS
Y1LABEL Probability
X1LABEL X
LINE BLANK
SPIKE ON
TIC OFFSET UNITS SCREEN
TIC OFFSET 3 3
PLOT LCTCDF(X,50) FOR X = 0 1 50