repl.txt (2220B)
1 2 {{alias}}( [μ] ) 3 Returns a degenerate distribution object. 4 5 Parameters 6 ---------- 7 μ: number (optional) 8 Constant value of distribution. 9 10 Returns 11 ------- 12 degenerate: Object 13 Distribution instance. 14 15 degenerate.mu: number 16 Constant value of distribution. 17 18 degenerate.entropy: number 19 Read-only property which returns the differential entropy. 20 21 degenerate.mean: number 22 Read-only property which returns the expected value. 23 24 degenerate.median: number 25 Read-only property which returns the median. 26 27 degenerate.stdev: number 28 Read-only property which returns the standard deviation. 29 30 degenerate.variance: number 31 Read-only property which returns the variance. 32 33 degenerate.cdf: Function 34 Evaluates the cumulative distribution function (CDF). 35 36 degenerate.logcdf: Function 37 Evaluates the natural logarithm of the cumulative distribution function 38 (CDF). 39 40 degenerate.logpdf: Function 41 Evaluates the natural logarithm of the probability density function 42 (PDF). 43 44 degenerate.logpmf: Function 45 Evaluates the natural logarithm of the probability mass function 46 (PMF). 47 48 degenerate.mgf: Function 49 Evaluates the moment-generating function (MGF). 50 51 degenerate.pmf: Function 52 Evaluates the probability mass function (PMF). 53 54 degenerate.pdf: Function 55 Evaluates the probability density function (PDF). 56 57 degenerate.quantile: Function 58 Evaluates the quantile function at probability `p`. 59 60 Examples 61 -------- 62 > var degenerate = {{alias}}( 2.0 ); 63 > degenerate.mu 64 2.0 65 > degenerate.entropy 66 0.0 67 > degenerate.mean 68 2.0 69 > degenerate.mode 70 2.0 71 > degenerate.median 72 2.0 73 > degenerate.stdev 74 0.0 75 > degenerate.variance 76 0.0 77 > degenerate.cdf( 0.5 ) 78 0.0 79 > degenerate.logcdf( 2.5 ) 80 0.0 81 > degenerate.logpdf( 0.5 ) 82 -Infinity 83 > degenerate.logpmf( 2.5 ) 84 -Infinity 85 > degenerate.mgf( 0.2 ) 86 ~1.492 87 > degenerate.pdf( 2.0 ) 88 +Infinity 89 > degenerate.pmf( 2.0 ) 90 1.0 91 > degenerate.quantile( 0.7 ) 92 2.0 93 94 See Also 95 -------- 96