Description Usage Arguments Details References Examples
Density, distribution function, quantile function and random generation for the reversal power normal distribution with parameters mu, sigma and lambda.
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x, q |
vector of quantiles. |
lambda |
shape parameter. |
mu, sigma |
location and scale parameters. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X ≤ x ], otherwise, P[X > x]. |
p |
vector of probabilities. |
n |
number of observations. |
The reversal power Normal distribution has density
f(x)=[λ/σ][exp(-((x-μ)/σ)^2)/√(2π)][Φ(-(x-μ)/σ)]^(λ-1),
where -∞<μ<∞ is the location paramether, σ^2>0 the scale parameter and λ>0 the shape parameter.
Anyosa, S. A. C. (2017) Binary regression using power and reversal power links. Master's thesis in Portuguese. Interinstitutional Graduate Program in Statistics. Universidade de S<c3><a3>o Paulo - Universidade Federal de S<c3><a3>o Carlos. Available in https://repositorio.ufscar.br/handle/ufscar/9016.
Baz<c3><a1>n, J. L., Torres -Avil<c3><a9>s, F., Suzuki, A. K. and Louzada, F. (2017) Power and reversal power links for binary regressions: An application for motor insurance policyholders. Applied Stochastic Models in Business and Industry, 33(1), 22-34.
Baz<c3><a1>n, J. L., Romeo, J. S. and Rodrigues, J. (2014) Bayesian skew-probit regression for binary response data. Brazilian Journal of Probability and Statistics. 28(4), 467<e2><80><93>482.
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