order                  package:evd                  R Documentation

_D_i_s_t_r_i_b_u_t_i_o_n_s _o_f _O_r_d_e_r _S_t_a_t_i_s_t_i_c_s

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

     Density function, distribution function and random generation for
     a selected order statistic of a given number of independent
     variables from a specified distribution.

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

     dorder(x, densfun, distnfun, ..., distn, mlen = 1, j = 1,
           largest = TRUE, log = FALSE)
     porder(q, distnfun, ..., distn, mlen = 1, j = 1, largest = TRUE,
           lower.tail = TRUE)  
     rorder(n, quantfun, ..., distn, mlen = 1, j = 1, largest = TRUE) 

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

    x, q: Vector of quantiles.

       n: Number of observations.

densfun, distnfun, quantfun: Density, distribution and quantile
          function of the specified distribution. The density function
          must have a 'log' argument (a simple wrapper can always be
          constructed to achieve this).

     ...: Parameters of the specified distribution.

   distn: A character string, optionally specified as an alternative to
          'densfun', 'distnfun' and 'quantfun' such that the density,
          distribution and quantile functions are formed upon the
          addition of the prefixes 'd', 'p' and 'q' respectively.

    mlen: The number of independent variables.

       j: The order statistic, taken as the 'j'th largest (default) or
          smallest of 'mlen', according to the value of 'largest'.

 largest: Logical; if 'TRUE' (default) use the 'j'th largest order
          statistic, otherwise use the 'j'th smallest.

     log: Logical; if 'TRUE', the log density is returned.

lower.tail: Logical; if 'TRUE' (default) probabilities are P[X <= x],
          otherwise  P[X > x].

_V_a_l_u_e:

     'dorder' gives the density function, 'porder' gives the
     distribution function and 'qorder' gives the quantile function of
     a selected order statistic from a sample of size 'mlen', from a
     specified distibution. 'rorder' generates random deviates.

_S_e_e _A_l_s_o:

     'rextreme', 'rgev'

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

     dorder(2:4, dnorm, pnorm, mean = 0.5, sd = 1.2, mlen = 5, j = 2)
     dorder(2:4, distn = "norm", mean = 0.5, sd = 1.2, mlen = 5, j = 2)
     dorder(2:4, distn = "exp", mlen = 2, j = 2)
     porder(2:4, distn = "exp", rate = 1.2, mlen = 2, j = 2)
     rorder(5, qgamma, shape = 1, mlen = 10, j = 2)

