feat: add the TS files

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: na
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    status: na
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  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
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  - task: lint_javascript_examples
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  - task: lint_c_src
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  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: passed
  - task: lint_license_headers
    status: passed
---

Author: anandkaranubc

lib/node_modules/@stdlib/stats/incr/wstdev/docs/types/index.d.ts

@@ -0,0 +1,67 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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
+
+/// <reference types="@stdlib/types"/>
+
+/**
+* If provided both arguments, returns an updated weighted standard deviation; otherwise, returns the current weighted standard deviation.
+*
+* ## Notes
+*
+* -   If provided `NaN` or a value which, when used in computations, results in `NaN`, the accumulated value is `NaN` for all future invocations.
+*
+* @param x - value
+* @param w - weight
+* @returns weighted standard deviation
+*/
+type accumulator = ( x?: number, w?: number ) => number | null;
+
+/**
+* Returns an accumulator function which incrementally computes a weighted standard deviation.
+*
+* @returns accumulator function
+*
+* @example
+* var accumulator = incrwstdev();
+*
+* var stdev = accumulator();
+* // returns null
+*
+* stdev = accumulator( 2.0, 1.0 );
+* // returns 0.0
+*
+* stdev = accumulator( 3.0, 2.0 );
+* // returns ~0.471
+*
+* stdev = accumulator( 2.0, 0.1 );
+* // returns ~0.478
+*
+* stdev = accumulator();
+* // returns ~0.478
+*
+* @example
+* var accumulator = incrwstdev( 3.0 );
+*/
+declare function incrwstdev(): accumulator;
+
+
+// EXPORTS //
+
+export = incrwstdev;

lib/node_modules/@stdlib/stats/incr/wstdev/docs/types/test.ts

@@ -0,0 +1,69 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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.
+*/
+
+import incrwstdev = require( './index' );
+
+
+// TESTS //
+
+// The function returns an accumulator function...
+{
+	incrwstdev(); // $ExpectType accumulator
+}
+
+// The compiler throws an error if the function is provided arguments...
+{
+	incrwstdev( '5' ); // $ExpectError
+	incrwstdev( 5 ); // $ExpectError
+	incrwstdev( true ); // $ExpectError
+	incrwstdev( false ); // $ExpectError
+	incrwstdev( null ); // $ExpectError
+	incrwstdev( undefined ); // $ExpectError
+	incrwstdev( [] ); // $ExpectError
+	incrwstdev( {} ); // $ExpectError
+	incrwstdev( ( x: number ): number => x ); // $ExpectError
+}
+
+// The function returns an accumulator function which returns an accumulated result...
+{
+	const acc = incrwstdev();
+
+	acc(); // $ExpectType number | null
+	acc( 3.14, 1.0 ); // $ExpectType number | null
+}
+
+// The compiler throws an error if the returned accumulator function is provided invalid arguments...
+{
+	const acc = incrwstdev();
+
+	acc( '5', 1.0 ); // $ExpectError
+	acc( true, 1.0 ); // $ExpectError
+	acc( false, 1.0 ); // $ExpectError
+	acc( null, 1.0 ); // $ExpectError
+	acc( [], 1.0 ); // $ExpectError
+	acc( {}, 1.0 ); // $ExpectError
+	acc( ( x: number ): number => x, 1.0 ); // $ExpectError
+
+	acc( 3.14, '5' ); // $ExpectError
+	acc( 3.14, true ); // $ExpectError
+	acc( 3.14, false ); // $ExpectError
+	acc( 3.14, null ); // $ExpectError
+	acc( 3.14, [] ); // $ExpectError
+	acc( 3.14, {} ); // $ExpectError
+	acc( 3.14, ( x: number ): number => x ); // $ExpectError
+}