

Exponential {base}                           R Documentation

_T_h_e _E_x_p_o_n_e_n_t_i_a_l _D_i_s_t_r_i_b_u_t_i_o_n

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

     dexp(x, rate = 1)
     pexp(q, rate = 1)
     qexp(p, rate = 1)
     rexp(n, rate = 1)

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

     x q: vector of quantiles.

       p: vector of probabilities.

       n: number of observations to generate.

    rate: vector of rates.

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

     These functions provide information about the exponen-
     tial distribution with rate `rate' (i.e., mean
     `1/rate').  `dexp' gives the density, `pexp' gives the
     distribution function, `qexp' gives the quantile func-
     tion and `rexp' generates random deviates.

     If `rate' is not specified, it assumes the default
     value of `1'.

     The exponential distribution with rate lambda has den-
     sity

                  f(x) = lambda e^(- lambda x)

     for x >= 0.

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

     `exp' for the exponential function, `dgamma' for the
     gamma distribution and `dweibull' for the Weibull dis-
     tribution, both of which generalize the exponential.

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

     dexp(1) - exp(-1) #-> 0
     r <- rexp(100)
     all(abs(1 - dexp(1, r) / (r*exp(-r))) < 1e-14)

