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crossrun (version 0.1.0)

Joint Distribution of Number of Crossings and Longest Run

Description

Joint distribution of number of crossings and the longest run in a series of independent Bernoulli trials. The computations uses an iterative procedure where computations are based on results from shorter series. The procedure conditions on the start value and partitions by further conditioning on the position of the first crossing (or none).

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Install

install.packages('crossrun')

Monthly Downloads

184

Version

0.1.0

License

GPL-3

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Maintainer

Tore Wentzel-Larsen

Last Published

October 8th, 2018

Functions in crossrun (0.1.0)

joint15symm

Joint probabilities, n=15, symmetric case
simclbin

Simulation of Independent Bernoulli Observations
joint100symm

Joint probabilities, n=100, symmetric case
joint60symm

Joint probabilities, n=60, symmetric case
joint15.6

Joint probabilities, n=15, success probability 0.6
clshift

Number of Crossings and Longest Run
joint60.6

Joint probabilities, 60, success probability 0.6
crossrunbin

Joint Distribution for Crossings and Runs
crossrunshift

wrapper for crossrunbin, succes probability=pnorm(shift).
crossrunchange

Joint Distribution for Crossings and Runs, Varying Success Probability.
cumsummcol

Column-Wise Cumulative Sums
cumsumm

Row-wise Cumulative Sums
boxprobt

Box Cumulative Sums
exactbin

Exact Joint Probabilities for Low n
joint100.6

Joint probabilities, n=100, success probability 0.6
crossrunsymm

Joint Probabilities for Crossings and Runs, Symmetric Case