The Typescript language service supports Typescript types in jsdoc. That means that anybody editing Javascript code with the Typescript language service, such as users of VS Code, Webstorm, Visual Studio, Sublime, Vim or Emacs, will expect eslint rules to understand Typescript types. Since eslint-plugin-jsdoc is the now-recommended way to lint jsdoc, and it relies on jsdoctypeparser, jsdoctypeparser should parse Typescript types.

Here's a list of the types that I've found so far that need support:

• Tuple types: [string, string]
  • Labelled tuple types: [a: string, b: string]
  • Multi-variadic tuple types: [...A, ...B]
• Arrow functions: (x: string) => number
• Signatures in object literal types: { x: string, (some: string, func: string) => void }
• Construct signatures: { staticX: string, new (some: string, ctor: string): C }
• Import types: import("./package").Type
• Mapped types, index access types, keyof types : { [K in keyof T]: Boxed<T[K]> }
• Conditional type: A extends B ? C : D
• Type queries: typeof someVariable
• Readonly properties { readonly a: string }
• Type parameters on arrow functions: <T>(a: T) => T
• Intersection type: A & B
• Type guard: param is Type
  • Assertion functions: asserts param is Type

I've got type queries working and import types mostly working, so I'll probably create a PR for those before continuing with the rest.