Description Usage Arguments Details Value Author(s) References Examples
Performs Epps and Pulley test for the composite hypothesis of exponentiality, see e.g. Henze and Meintanis (2005, Sec. 2.8.1).
1 | ep.exp.test(x, simulate.p.value=FALSE, nrepl=2000)
|
x |
a numeric vector of data values. |
simulate.p.value |
a logical value indicating whether to compute p-values by Monte Carlo simulation. |
nrepl |
the number of replications in Monte Carlo simulation. |
The Epps and Pulley test is a test for the composite hypothesis of exponentiality. The test statistic is
EP_n = (48n)^{1/2} ≤ft(\frac1n∑_{j=1}^n\exp(-Y_j)-\frac12\right),
where Y_j=X_j/\overline{X}. EP_n is asymptotically standard normal (see, e.g., Henze and Meintanis (2005, Sec. 2.8.1).
A list with class "htest" containing the following components:
statistic |
the value of the Epps and Pulley statistic. |
p.value |
the p-value for the test. |
method |
the character string "The test for exponentiality of Epps and Pulley". |
data.name |
a character string giving the name(s) of the data. |
Alexey Novikov, Ruslan Pusev and Maxim Yakovlev
Henze, N. and Meintanis, S.G. (2005): Recent and classical tests for exponentiality: a partial review with comparisons. — Metrika, vol. 61, pp. 29–45.
1 2 | ep.exp.test(rexp(100))
ep.exp.test(runif(100, min = 0, max = 1))
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