Haven't you seen these two lines?
@angular-devkit/build-angular      <error>
@angular-devkit/build-ng-packagr   <error>
I encountered similar issues today and solved by npm uninstall  @angular/cli@7.3.8; just that, nothing more and then I can run ng build --prod --stats-json as expected. 
Before uninstallation, there is the error similar to yours but mine is @angular-devkit/build-ng-packagr. 
$ ng build --stats-json
Could not find module "@angular-devkit/build-ng-packagr" from "/home/hearen/git/repos/ng-hue-lib".
Error: Could not find module "@angular-devkit/build-ng-packagr" from "/home/hearen/git/repos/ng-hue-lib".
    at Object.resolve (/home/hearen/git/repos/ng-hue-lib/node_modules/@angular-devkit/core/node/resolve.js:141:11)
    at Observable.rxjs_1.Observable [as _subscribe] (/home/hearen/git/repos/ng-hue-lib/node_modules/@angular-devkit/architect/src/architect-legacy.js:153:40)
    at Observable._trySubscribe (/home/hearen/git/repos/ng-hue-lib/node_modules/@angular-devkit/architect/node_modules/rxjs/internal/Observable.js:44:25)
    at Observable.subscribe (/home/hearen/git/repos/ng-hue-lib/node_modules/@angular-devkit/architect/node_modules/rxjs/internal/Observable.js:30:22)
    at /home/hearen/git/repos/ng-hue-lib/node_modules/@angular-devkit/architect/node_modules/rxjs/internal/Observable.js:99:19
    at new Promise (<anonymous>)
    at Observable.toPromise (/home/hearen/git/repos/ng-hue-lib/node_modules/@angular-devkit/architect/node_modules/rxjs/internal/Observable.js:97:16)
    at BuildCommand.initialize (/home/hearen/git/repos/ng-hue-lib/node_modules/@angular/cli/models/architect-command.js:67:96)
    at process._tickCallback (internal/process/next_tick.js:68:7)
    at Function.Module.runMain (internal/modules/cjs/loader.js:745:11)
    at startup (internal/bootstrap/node.js:279:19)
    at bootstrapNodeJSCore (internal/bootstrap/node.js:696:3)
...
Package                            Version
------------------------------------------------------------
@angular-devkit/architect          0.13.8
@angular-devkit/build-angular      0.13.8
@angular-devkit/build-ng-packagr   <error>
@angular-devkit/build-optimizer    0.13.8
@angular-devkit/build-webpack      0.13.8
@angular-devkit/core               7.3.8
@angular-devkit/schematics         7.3.8
@angular/cdk                       7.3.7
@angular/cli                       7.3.8
@ngtools/json-schema               1.1.0
@ngtools/webpack                   7.3.8
@schematics/angular                7.3.8
@schematics/update                 0.13.8
ng-packagr                         5.0.1
rxjs                               6.4.0
typescript                         3.1.6
webpack                            4.29.0