unifit (Statistics Toolbox)

Parameter estimates for uniformly distributed data

Syntax

[ahat,bhat] = unifit(X)
[ahat,bhat,ACI,BCI] = unifit(X)
[ahat,bhat,ACI,BCI] = unifit(X,alpha)

Description

[ahat,bhat] = unifit(X) returns the maximum likelihood estimates (MLEs) of the parameters of the uniform distribution given the data in X.

[ahat,bhat,ACI,BCI] = unifit(X) also returns 95% confidence intervals, ACI and BCI, which are matrices with two rows. The first row contains the lower bound of the interval for each column of the matrix X. The second row contains the upper bound of the interval.

[ahat,bhat,ACI,BCI] = unifit(X,alpha) allows control of the confidence level alpha. For example, if alpha = 0.01 then ACI and BCI are 99% confidence intervals.

Example

r = unifrnd(10,12,100,2);
[ahat,bhat,aci,bci] = unifit(r)
ahat =
   10.0154   10.0060
bhat =
   11.9989   11.9743
aci =
    9.9551    9.9461
   10.0154   10.0060
bci =
   11.9989   11.9743
   12.0592   12.0341

unifinv unifpdf