repl.txt (2060B)
1 2 {{alias}}( [λ] ) 3 Returns a Poisson distribution object. 4 5 Parameters 6 ---------- 7 λ: number (optional) 8 Mean parameter. Must be greater than `0`. Default: `1.0`. 9 10 Returns 11 ------- 12 poisson: Object 13 Distribution instance. 14 15 poisson.lambda: number 16 Mean parameter. If set, the value must be greater than `0`. 17 18 poisson.entropy: number 19 Read-only property which returns the differential entropy. 20 21 poisson.kurtosis: number 22 Read-only property which returns the excess kurtosis. 23 24 poisson.mean: number 25 Read-only property which returns the expected value. 26 27 poisson.median: number 28 Read-only property which returns the median. 29 30 poisson.mode: number 31 Read-only property which returns the mode. 32 33 poisson.skewness: number 34 Read-only property which returns the skewness. 35 36 poisson.stdev: number 37 Read-only property which returns the standard deviation. 38 39 poisson.variance: number 40 Read-only property which returns the variance. 41 42 poisson.cdf: Function 43 Evaluates the cumulative distribution function (CDF). 44 45 poisson.logpmf: Function 46 Evaluates the natural logarithm of the probability mass function (PMF). 47 48 poisson.mgf: Function 49 Evaluates the moment-generating function (MGF). 50 51 poisson.pmf: Function 52 Evaluates the probability mass function (PMF). 53 54 poisson.quantile: Function 55 Evaluates the quantile function at probability `p`. 56 57 Examples 58 -------- 59 > var poisson = {{alias}}( 6.0 ); 60 > poisson.lambda 61 6.0 62 > poisson.entropy 63 ~2.3 64 > poisson.kurtosis 65 ~0.167 66 > poisson.mean 67 6.0 68 > poisson.median 69 6.0 70 > poisson.mode 71 6.0 72 > poisson.skewness 73 ~0.408 74 > poisson.stdev 75 ~2.449 76 > poisson.variance 77 6.0 78 > poisson.cdf( 4.0 ) 79 ~0.285 80 > poisson.logpmf( 2.0 ) 81 ~-3.11 82 > poisson.mgf( 0.5 ) 83 ~49.025 84 > poisson.pmf( 2.0 ) 85 ~0.045 86 > poisson.quantile( 0.5 ) 87 6.0 88 89 See Also 90 -------- 91