

Beta {base}                                  R Documentation

_T_h_e _B_e_t_a _D_i_s_t_r_i_b_u_t_i_o_n

_U_s_a_g_e_:

     dbeta(x, shape1, shape2, ncp=0)
     pbeta(q, shape1, shape2, ncp=0)
     qbeta(p, shape1, shape2)
     rbeta(n, shape1, shape2)

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

     x,q: vector of quantiles.

       p: vector of probabilities.

       n: number of observations to generate.

shape1,shape2: positive parameters of the beta distribution.

     ncp: non-centrality parameter.

_V_a_l_u_e_:

     These functions provide information about the Beta dis-
     tribution with parameters `shape1' and `shape2' (and
     optional non-centrality parameter `ncp').  `dbeta'
     gives the density, `pbeta' the distribution function,
     `qbeta' the quantile function and `rbeta' generates
     random deviates.

     The Beta distribution with parameters `shape1' = a and
     `shape2' = b has density

         Gamma(a+b)/(Gamma(a)Gamma(b))x^(a-1)(1-x)^(b-1)

     for a > 0, b > 0 and 0 < x < 1.

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

     `beta' for the beta function, and `dgamma' for the
     Gamma distribution.

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

     x <- seq(0,1, length=21)
     dbeta(x, 1, 1)
     pbeta(x, 1, 1)

