pvm                package:CircStats                R Documentation

_C_u_m_m_u_l_a_t_i_v_e _P_r_o_b_a_b_i_l_i_t_y _f_o_r _t_h_e _v_o_n _M_i_s_e_s _D_i_s_t_r_i_b_u_t_i_o_n

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

     Estimates the cummulative probability for a von Mises
     distribution.

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

     pvm(theta, mu, kappa, acc=1e-020)

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

   theta: angular value in radians.

      mu: mean direction of the von Mises distribution.

   kappa: concentration parameter of the von Mises distribution.

     acc: parameter relating to the accuracy of the estimated
          cummulative probability.  See details below.  Default value
          is 1e-020.

_D_e_t_a_i_l_s:

     Cummulative probabilities are computed according to the expression
     for the von Mises cdf given by Gumbel et al. (1953), which gives
     the cdf as a function of an infinite sum.  The parameter acc
     specifies the accuracy with which this sum is approximated. Terms
     greater than acc are included in the summation.  The cummulative
     probabilities given by pvm coincide with those tabulated    by
     Mardia (1972), which are given to five decimal values.

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

     Returns the probability that a von Mises random variable falls
     between 0 and theta.

_R_e_f_e_r_e_n_c_e_s:

     Gumbel, E., Greenwood, J. and Durand, D. (1953).  The circular
     normal distribution: theory and tables.  Journal of the American
     Statistical Association, 48, 131-152.

     Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular
     Statistics, Section 2.2.4, World Scientific Press, Singapore.

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

     dvm, rvm

