loglikelihood.logLogistic

loglikelihood.logLogistic, function

def autodiff pure loglikelihood.logLogistic(
    alpha: number,
    beta: number,
    x: number): number
def autodiff pure loglikelihood.logLogistic(
    alpha: number,
    beta: number,
    x: number,
    isLowerBound: boolean): number

Returns the log-likelihood of x under a log-logistic distribution. The isLowerBound overload treats x as a lower bound.

• alpha: scale parameter, must be positive.
• beta: shape parameter, must be positive.
• x: observation, must be positive.
• isLowerBound: when true, x is a lower bound.

Examples

table T = with
  [| as Alpha, as Beta, as X |]
  [| 10, 2, 5 |]
  [| 10, 2, 20 |]

T.LL = loglikelihood.logLogistic(T.Alpha, T.Beta, T.X)

show table "Log-logistic" with
  T.X
  T.LL

This produces the following table:

table T = with
  [| as Alpha, as Beta, as X, as IsLowerBound |]
  [| 10, 2, 5, true |]
  [| 10, 2, 20, true |]

T.LL = loglikelihood.logLogistic(T.Alpha, T.Beta, T.X, T.IsLowerBound)

show table "Lower bound" with
  T.X
  T.LL

This produces the following table:

See also

• Regress distribution parameters with autodiff