Image Gallery
Historical Timeline
The probabilities for birthday coincidences
The probabilities for catching tagged fish
Tabulation of Bernoulli waiting times
Another way to tabulate and graph Bernoulli waiting times
Grouping R commands
Tabulation of waiting times in the Bernoulli process
The negative binomial distribution for various biases
The negative binomial distribution for a fair coin but different number of heads
A binomial distribution
Random walk for a specific Bernoulli sample point
Playing card scores
The distribution of a biased random walk
A function for computing the most likely location for a biased random walk
The birthday coincidence waiting time distribution
The Banach matchbox probabilities
Distribution of a uniform random variable
Density function of a uniform random variable
Graph symbols available in R
The distribution of the first order statistic (i.e., the minimum)
The density of the first order statistic
Distribution of a typical integer random variable
Comparison of X(1) and log(X(1)), graph is on page 112
Trapezoidal region for computing the distribution function of the spread
The distribution of the smallest piece of broken DNA molecule
Variance of a Bernoulli trial as a function of the bias
Standard deviation of a Bernoulli trial
Standard normal density function
Standard normal distribution function
Inverse of the standard normal distribution function
Comparison of a Binomial density with the corresponding normal density
Comparison of S(16) with N(8,4)
Various normal distributions with mean 0
Randomly generated tennis ball hits
Randomly generation using the Cauchy distribution function
Normal model of significance for a manufacturing process
Various exponential distributions
Various exponential densities
Conditional density of a renewal time
Probability distribution of the time until failure
Probability density of the time until failure
An example of a reliability comparison using densities of the time until failure
Some reliability distributions
Some reliability densities
Entropy of a Bernoulli trial
Comparison of linear and logarithmic functions
The reflection principle for the arcsine law: Diagram #1
The reflection principle for the arcsine law: Diagram #2
The reflection principle for the arcsine law: Diagram #3
Typical random walk for the event C[n,a,x]-C[n,a+1,x] of the reflection principle
The reflection principle for the arcsine law: Diagram #4
Wiener process
© 2008 Kenneth Baclawski.