Compute the cumulative distribution function (CDF) for the beta distribution, given the upper limit of integration x, and values of the shape parameters. The beta distribution plays a critical role is calculating many common statistics, and is hence important to a wide variety of analytics-related tasks.
Compute the cumulative distribution function (CDF) for the binomial distribution, given the number of trials, the number of successes, and the probability of observing a successful outcome. The binomial distribution CDF is very useful for assessing probabilities in analytics studies that rely on the binomial experiments.
Compute the cumulative distribution function (CDF) for the chi-square distribution, given the upper limit of integration x, and the degrees of freedom. The chi-square distribution CDF yields the area under the chi-square distribution from zero to x, which is very useful for assessing probabilities in analytics studies that rely on categorical data.
Compute the cumulative distribution function (CDF) for the continuous uniform distribution, given the upper and lower limits of the distribution and the point at which to evaluate the function. The continuous uniform distribution is very useful in analytics studies involving events or outcomes that are equally probable for all intervals of the same length, such as random number generation.
Compute the cumulative distribution function (CDF) for the F-distribution, given the upper limit of integration x, and the numerator and denominator degrees of freedom. The F-distribution CDF yields the area under the F-distribution from 0 to x, which is very useful for assessing probabilities in analytics studies that rely on F-tests.
Compute the noncentral F-distribution's cumulative distribution function (CDF), given an F-value, the numerator and denominator degrees of freedom, and the noncentrality parameter. The noncentral F-distribution is one of the foundational statistical distributions used in analytics.
Compute the cumulative distribution function (CDF) for the noncentral t-distribution, given a t-value, the value of the noncentrality parameter, and the degrees of freedom. The noncentral t-distribution CDF yields the area under the noncentral t-distribution from negative infinity to t, which is very useful for analytics-related tasks such as computing statistical power and robust data modeling.
Compute the cumulative distribution function (CDF) for the normal distribution, given the mean, the standard deviation, and the upper limit of integration x. The normal distribution CDF yields the area under the normal distribution from negative infinity to x, which is very useful for assessing probabilities in analytics studies that rely on the normal distribution.
Compute the cumulative distribution function (CDF) for the Poisson distribution, given the expected number of event occurrences, and the observed number of event occurrences. The Poisson distribution CDF is very useful in analytics studies for assessing probabilities of events occurring within a specific interval.
Compute the cumulative distribution function (CDF) for the standard normal distribution, given the upper limit of integration x. The standard normal distribution CDF yields the area under the standard normal distribution from negative infinity to x, which is very useful for assessing probabilities in analytics studies that rely on the standard normal distribution.
Compute the cumulative distribution function (CDF) for the t-distribution, given a t-value and the degrees of freedom. The t-distribution CDF yields the area under the t-distribution from negative infinity to t, which is very useful for assessing probabilities in analytics studies that rely on t-tests.