@stdlib/stats-base-dists-kumaraswamy-ctor
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Kumaraswamy's double bounded distribution constructor.
130 lines (112 loc) • 2.73 kB
TypeScript
/*
* @license Apache-2.0
*
* Copyright (c) 2021 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.
*/
// TypeScript Version: 4.1
/**
* Kumaraswamy double bounded distribution.
*/
declare class Kumaraswamy {
/**
* Kumaraswamy's double bounded distribution constructor.
*
* @param a - first shape parameter (default: 1.0)
* @param b - second shape parameter (default: 1.0)
* @throws `a` must be a positive number
* @throws `b` must be a positive number
* @returns distribution instance
*
* @example
* var kumaraswamy = new Kumaraswamy( 1.0, 1.0 );
*
* var y = kumaraswamy.cdf( 0.8 );
* // returns 0.8
*
* var v = kumaraswamy.mode;
* // returns NaN
*/
constructor( a: number, b: number );
/**
* Kumaraswamy's double bounded distribution constructor.
*
* @returns distribution instance
*
* @example
* var kumaraswamy = new Kumaraswamy();
*
* var y = kumaraswamy.cdf( 0.8 );
* // returns 0.8
*
* var v = kumaraswamy.mode;
* // returns NaN
*/
constructor();
/**
* First shape parameter. If set, the value must be greater than `0`.
*/
a: number;
/**
* Second shape parameter. If set, the value must be greater than `0`.
*/
b: number;
/**
* Read-only property which returns the excess kurtosis.
*/
readonly kurtosis: number;
/**
* Read-only property which returns the expected value.
*/
readonly mean: number;
/**
* Read-only property which returns the mode.
*/
readonly mode: number;
/**
* Read-only property which returns the skewness.
*/
readonly skewness: number;
/**
* Read-only property which returns the standard deviation.
*/
readonly stdev: number;
/**
* Read-only property which returns the variance.
*/
readonly variance: number;
/**
* Evaluates the cumulative distribution function (CDF).
*
* @param x - input value
* @returns evaluated CDF
*/
cdf( x: number ): number;
/**
* Evaluates the probability density function (PDF).
*
* @param x - input value
* @returns evaluated PDF
*/
pdf( x: number ): number;
/**
* Evaluates the quantile function at probability `p`.
*
* @param p - input probability
* @returns evaluated quantile function
*/
quantile( p: number ): number;
}
// EXPORTS //
export = Kumaraswamy;