diff --git a/stats/base/dists/pareto-type1/kurtosis/coverage.ndjson b/stats/base/dists/pareto-type1/kurtosis/coverage.ndjson new file mode 100644 index 000000000..f31f34ac4 --- /dev/null +++ b/stats/base/dists/pareto-type1/kurtosis/coverage.ndjson @@ -0,0 +1 @@ +[199,199,100,10,10,100,2,2,100,199,199,100,"663dfb9070a55dba31a5acd6b8aff735dd8baae0","2024-12-16 23:50:14 +0530"] diff --git a/stats/base/dists/pareto-type1/kurtosis/index.html b/stats/base/dists/pareto-type1/kurtosis/index.html new file mode 100644 index 000000000..ab1ccfef0 --- /dev/null +++ b/stats/base/dists/pareto-type1/kurtosis/index.html @@ -0,0 +1,146 @@ + + + + +
++ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
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index.js | +
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main.js | +
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native.js | +
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+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x + | /** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +/** +* Pareto (Type I) distribution excess kurtosis. +* +* @module @stdlib/stats/base/dists/pareto-type1/kurtosis +* +* @example +* var kurtosis = require( '@stdlib/stats/base/dists/pareto-type1/kurtosis' ); +* +* var v = kurtosis( 5.0, 1.0 ); +* // returns ~70.8 +* +* v = kurtosis( 4.2, 12.0 ); +* // returns ~384.095 +* +* v = kurtosis( 8.0, 2.0 ); +* // returns ~19.725 +*/ + +// MODULES // + +var main = require( './main.js' ); + + +// EXPORTS // + +module.exports = main; + |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 +68 +69 +70 +71 +72 +73 +74 +75 +76 +77 +78 +79 +80 +81 +82 +83 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1015x +1015x +1015x +1015x +1015x +1015x +1001x +1015x +15x +15x +1000x +1000x +1000x +1015x +1x +1x +1x +1x +1x + | /** +* @license Apache-2.0 +* +* Copyright (c) 2018 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var pow = require( '@stdlib/math/base/special/pow' ); + + +// MAIN // + +/** +* Returns the excess kurtosis of a Pareto (Type I) distribution. +* +* @param {PositiveNumber} alpha - shape parameter +* @param {PositiveNumber} beta - scale parameter +* @returns {PositiveNumber} excess kurtosis +* +* @example +* var v = kurtosis( 5.0, 1.0 ); +* // returns ~70.8 +* +* @example +* var v = kurtosis( 7.0, 12.0 ); +* // returns ~24.857 +* +* @example +* var v = kurtosis( 8.0, 2.0 ); +* // returns ~19.725 +* +* @example +* var v = kurtosis( 1.0, -0.1 ); +* // returns NaN +* +* @example +* var v = kurtosis( -0.1, 1.0 ); +* // returns NaN +* +* @example +* var v = kurtosis( 2.0, NaN ); +* // returns NaN +* +* @example +* var v = kurtosis( NaN, 2.0 ); +* // returns NaN +*/ +function kurtosis( alpha, beta ) { + var out; + if ( + isnan( alpha ) || + alpha <= 4.0 || + isnan( beta ) || + beta <= 0.0 + ) { + return NaN; + } + out = 6.0 * ( pow( alpha, 3.0 ) + pow( alpha, 2.0 ) - ( 6.0*alpha ) - 2.0 ); + out /= alpha * ( alpha-3.0 ) * ( alpha-4.0 ); + return out; +} + + +// EXPORTS // + +module.exports = kurtosis; + |
+ Press n or j to go to the next uncovered block, b, p or k for the previous block. +
+ +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +14 +15 +16 +17 +18 +19 +20 +21 +22 +23 +24 +25 +26 +27 +28 +29 +30 +31 +32 +33 +34 +35 +36 +37 +38 +39 +40 +41 +42 +43 +44 +45 +46 +47 +48 +49 +50 +51 +52 +53 +54 +55 +56 +57 +58 +59 +60 +61 +62 +63 +64 +65 +66 +67 +68 +69 +70 +71 +72 | 1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1x +1015x +1015x +1015x +1x +1x +1x +1x +1x + | /** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Returns the excess kurtosis of a Pareto (Type I) distribution. +* +* @private +* @param {PositiveNumber} alpha - shape parameter +* @param {PositiveNumber} beta - scale parameter +* @returns {PositiveNumber} excess kurtosis +* +* @example +* var v = kurtosis( 5.0, 1.0 ); +* // returns ~70.8 +* +* @example +* var v = kurtosis( 7.0, 12.0 ); +* // returns ~24.857 +* +* @example +* var v = kurtosis( 8.0, 2.0 ); +* // returns ~19.725 +* +* @example +* var v = kurtosis( 1.0, -0.1 ); +* // returns NaN +* +* @example +* var v = kurtosis( -0.1, 1.0 ); +* // returns NaN +* +* @example +* var v = kurtosis( 2.0, NaN ); +* // returns NaN +* +* @example +* var v = kurtosis( NaN, 2.0 ); +* // returns NaN +*/ +function kurtosis( alpha, beta ) { + return addon( alpha, beta ); +} + + +// EXPORTS // + +module.exports = kurtosis; + |