

power exponential(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 dis-
     persion, 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)

