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index.d.ts
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index.d.ts
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/*
* @license Apache-2.0
*
* Copyright (c) 2019 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: 2.0
/**
* Evaluates the logarithm of the probability density function (PDF) for a Kumaraswamy's double bounded distribution.
*
* @param x - input value
* @returns evaluated logPDF
*/
type Unary = ( x: number ) => number;
/**
* Interface for the logarithm of probability density function (PDF) of a Kumaraswamy's double bounded distribution.
*/
interface LogPDF {
/**
* Evaluates the natural logarithm of the probability density function (PDF) for a Kumaraswamy's double bounded distribution with first shape parameter `a` and second shape parameter `b` at a value `x`.
*
* ## Notes
*
* - If `a <= 0` or `b <= 0`, the function returns `NaN`.
*
* @param x - input value
* @param a - first shape parameter
* @param b - second shape parameter
* @returns evaluated logPDF
*
* @example
* var y = logpdf( 0.5, 1.0, 1.0 );
* // returns 0.0
*
* @example
* var y = logpdf( 0.5, 2.0, 4.0 );
* // returns ~0.523
*
* @example
* var y = logpdf( 0.2, 2.0, 2.0 );
* // returns ~-0.264
*
* @example
* var y = logpdf( 0.8, 4.0, 4.0 );
* // returns ~0.522
*
* @example
* var y = logpdf( -0.5, 4.0, 2.0 );
* // returns -Infinity
*
* @example
* var y = logpdf( 1.5, 4.0, 2.0 );
* // returns -Infinity
*
* @example
* var y = logpdf( 2.0, -1.0, 0.5 );
* // returns NaN
*
* @example
* var y = logpdf( 2.0, 0.5, -1.0 );
* // returns NaN
*
* @example
* var y = logpdf( NaN, 1.0, 1.0 );
* // returns NaN
*
* @example
* var y = logpdf( 0.0, NaN, 1.0 );
* // returns NaN
*
* @example
* var y = logpdf( 0.0, 1.0, NaN );
* // returns NaN
*/
( x: number, a: number, b: number ): number;
/**
* Returns a function for evaluating the natural logarithm of the probability density function (PDF) for a Kumaraswamy's double bounded distribution with first shape parameter `a` and second shape parameter `b`.
*
* @param a - first shape parameter
* @param b - second shape parameter
* @returns logPDF
*
* @example
* var mylogpdf = logpdf.factory( 0.5, 0.5 );
*
* var y = mylogpdf( 0.8 );
* // returns ~-0.151
*
* y = mylogpdf( 0.3 );
* // returns ~-0.388
*/
factory( a: number, b: number ): Unary;
}
/**
* Arcsine distribution logarithm of probability density function (PDF).
*
* @param x - input value
* @param a - first shape parameter
* @param b - second shape parameter
* @returns evaluated logPDF
*
* @example
* var y = logpdf( 0.5, 1.0, 1.0 );
* // returns 0.0
*
* y = logpdf( 0.5, 2.0, 4.0 );
* // returns ~0.523
*
* var mylogpdf = logpdf.factory( 0.5, 0.5 );
*
* y = mylogpdf( 0.8 );
* // returns ~-0.151
*
* y = mylogpdf( 0.3 );
* // returns ~-0.387
*/
declare var logPDF: LogPDF;
// EXPORTS //
export = logPDF;