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236+ < span class ="cline-any cline-neutral "> </ span > </ td > < td class ="text "> < pre class ="prettyprint lang-js "> /**
237+ * @license Apache-2.0
238+ *
239+ * Copyright (c) 2018 The Stdlib Authors.
240+ *
241+ * Licensed under the Apache License, Version 2.0 (the "License");
242+ * you may not use this file except in compliance with the License.
243+ * You may obtain a copy of the License at
244+ *
245+ * http://www.apache.org/licenses/LICENSE-2.0
246+ *
247+ * Unless required by applicable law or agreed to in writing, software
248+ * distributed under the License is distributed on an "AS IS" BASIS,
249+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
250+ * See the License for the specific language governing permissions and
251+ * limitations under the License.
252+ */
253+
254+ 'use strict';
255+
256+ // MODULES //
257+
258+ var constantFunction = require( '@stdlib/utils/constant-function' );
259+ var isnan = require( '@stdlib/math/base/assert/is-nan' );
260+ var pow = require( '@stdlib/math/base/special/pow' );
261+
262+
263+ // MAIN //
264+
265+ /**
266+ * Returns a function for evaluating the cumulative distribution function (CDF) for a Kumaraswamy's double bounded distribution with first shape parameter `a` and second shape parameter `b`.
267+ *
268+ * @param {PositiveNumber} a - first shape parameter
269+ * @param {PositiveNumber} b - second shape parameter
270+ * @returns {Function} CDF
271+ *
272+ * @example
273+ * var cdf = factory( 0.5, 0.5 );
274+ *
275+ * var y = cdf( 0.8 );
276+ * // returns ~0.675
277+ *
278+ * y = cdf( 0.3 );
279+ * // returns ~0.327
280+ */
281+ function factory( a, b ) {
282+ if (
283+ isnan( a ) ||
284+ isnan( b ) ||
285+ a <= 0.0 ||
286+ b <= 0.0
287+ ) {
288+ return constantFunction( NaN );
289+ }
290+ return cdf;
291+
292+ /**
293+ * Evaluates the cumulative distribution function (CDF) for a Kumaraswamy's double bounded distribution.
294+ *
295+ * @private
296+ * @param {number} x - input value
297+ * @returns {Probability} evaluated CDF
298+ *
299+ * @example
300+ * var y = cdf( 2.0 );
301+ * // returns <number>
302+ */
303+ function cdf( x ) {
304+ if ( isnan( x ) ) {
305+ return NaN;
306+ }
307+ if ( x <= 0.0 ) {
308+ return 0.0;
309+ }
310+ if ( x >= 1.0 ) {
311+ return 1.0;
312+ }
313+ return 1.0 - pow( 1.0 - pow( x, a ), b );
314+ }
315+ }
316+
317+
318+ // EXPORTS //
319+
320+ module.exports = factory;
321+ </ pre > </ td > </ tr > </ table > </ pre >
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328+ at 2025-06-22T23:27:00.301Z
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