m1df                 package:distrEx                 R Documentation

_G_e_n_e_r_i_c _F_u_n_c_t_i_o_n _f_o_r _t_h_e _C_o_m_p_u_t_a_t_i_o_n _o_f _C_l_i_p_p_e_d _F_i_r_s_t _M_o_m_e_n_t_s

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

     Generic function for the computation of clipped first moments. The
     moments are clipped at 'upper'.

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

     m1df(object, upper)

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

  object: object of class '"Distribution"' 

   upper: clipping bound 

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

     The precision of the computations can be controlled via  certain
     global options; cf. 'distrExOptions'.

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

     The first moment of 'object' clipped at 'upper' is computed.

_M_e_t_h_o_d_s:

     _o_b_j_e_c_t = "_U_n_i_v_a_r_i_a_t_e_D_i_s_t_r_i_b_u_t_i_o_n": clipped first moment for
          univariate distributions which is computed using crude 
          Monte-Carlo integration. 

     _o_b_j_e_c_t = "_A_b_s_c_o_n_t_D_i_s_t_r_i_b_u_t_i_o_n": clipped first moment for
          absolutely continuous univariate distributions which  is
          computed using 'distrExIntegrate'. 

     _o_b_j_e_c_t = "_D_i_s_c_r_e_t_e_D_i_s_t_r_i_b_u_t_i_o_n": clipped first moment for discrete
          univariate distributions which is computed  using 'support'
          and 'sum'. 

     _o_b_j_e_c_t = "_B_i_n_o_m": clipped first moment for Binomial distributions
          which is computed using 'pbinom'. 

     _o_b_j_e_c_t = "_P_o_i_s": clipped first moment for Poisson distributions
          which is computed using 'ppois'. 

     _o_b_j_e_c_t = "_N_o_r_m": clipped first moment for normal distributions
          which is computed using 'dnorm' and 'pnorm'. 

     _o_b_j_e_c_t = "_E_x_p": clipped first moment for exponential distributions
          which is computed using 'pexp'. 

     _o_b_j_e_c_t = "_C_h_i_s_q": clipped first moment for Chi^2 distributions
          which is computed using 'pchisq'. 

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

     Matthias Kohl Matthias.Kohl@stamats.de

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

     'distrExIntegrate', 'm2df', 'E'

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

     # standard normal distribution
     N1 <- Norm()
     m1df(N1, 0)

     # Poisson distribution
     P1 <- Pois(lambda=2)
     m1df(P1, 3)

     # absolutely continuous distribution
     D1 <- Norm() + Exp() # convolution
     m1df(D1, 2)
     m1df(D1, Inf)
     E(D1)

