power exponential           package:rmutil           R Documentation

_T_h_e _p_o_w_e_r _e_x_p_o_n_e_n_t_i_a_l _D_i_s_t_r_i_b_u_t_i_o_n

_D_e_s_c_r_i_p_t_i_o_n:

     These functions provide information about the power exponential
     distribution with mean parameter equal to `m', dispersion equal to
     `s', and family parameter equal to `f'. `dpowexp' gives the
     density, `ppowexp' gives the distribution function.

     The power exponential distribution has density

 f(y) = exp(-(abs(y-m)/sqrt(s))^(2 f)/2)/ (sqrt(s) Gamma(1+1/(2 f)) 2^(1+1/(2 f)))


     where m is the mean of the distribution, s is the dispersion, and
     f is the family parameter. f=1 yields a normal distribution, f=0.5
     a Laplace distribution, and f=Inf  a uniform distribution.

_U_s_a_g_e:

     dpowexp(y, m=0, s=1, f=1)
     ppowexp(q, m=0, s=1, f=1)

_A_r_g_u_m_e_n_t_s:

       y: vector of responses.

       q: vector of quantiles.

       m: vector of means.

       s: vector of dispersion parameters.

       f: vector of family parameters.

_A_u_t_h_o_r(_s):

     J.K. Lindsey

_E_x_a_m_p_l_e_s:

     dpowexp(5, 5, 1, 2)
     ppowexp(5, 5, 1, 2)

