repl.txt (1794B)
1 2 {{alias}}( x, k, λ ) 3 Evaluates the natural logarithm of the probability density function (PDF) 4 for an Erlang distribution with shape parameter `k` and rate parameter `λ` 5 at a value `x`. 6 7 If provided `NaN` as any argument, the function returns `NaN`. 8 9 If not provided a nonnegative integer for `k`, the function returns `NaN`. 10 11 If provided a non-positive value for `λ`, the function returns `NaN`. 12 13 Parameters 14 ---------- 15 x: number 16 Input value. 17 18 k: number 19 Shape parameter. 20 21 λ: number 22 Rate parameter. 23 24 Returns 25 ------- 26 out: number 27 Evaluated logPDF. 28 29 Examples 30 -------- 31 > var y = {{alias}}( 0.1, 1, 1.0 ) 32 ~-0.1 33 > y = {{alias}}( 0.5, 2, 2.5 ) 34 ~-0.111 35 > y = {{alias}}( -1.0, 4, 2.0 ) 36 -Infinity 37 > y = {{alias}}( NaN, 1, 1.0 ) 38 NaN 39 > y = {{alias}}( 0.0, NaN, 1.0 ) 40 NaN 41 > y = {{alias}}( 0.0, 1, NaN ) 42 NaN 43 > y = {{alias}}( 2.0, -2, 0.5 ) 44 NaN 45 > y = {{alias}}( 2.0, 0.5, 0.5 ) 46 NaN 47 > y = {{alias}}( 2.0, 0.0, 2.0 ) 48 -Infinity 49 > y = {{alias}}( 0.0, 0.0, 2.0 ) 50 Infinity 51 > y = {{alias}}( 2.0, 1, 0.0 ) 52 NaN 53 > y = {{alias}}( 2.0, 1, -1.0 ) 54 NaN 55 56 57 {{alias}}.factory( k, λ ) 58 Returns a function for evaluating the natural logarithm of the probability 59 density function (PDF) of an Erlang distribution with shape parameter `k` 60 and rate parameter `λ`. 61 62 Parameters 63 ---------- 64 k: number 65 Shape parameter. 66 67 λ: number 68 Rate parameter. 69 70 Returns 71 ------- 72 logpdf: Function 73 Logarithm of probability density function (PDF). 74 75 Examples 76 -------- 77 > var myLogPDF = {{alias}}.factory( 6.0, 7.0 ); 78 > y = myLogPDF( 7.0 ) 79 ~-32.382 80 81 82 See Also 83 -------- 84