{"id":22225519,"url":"https://github.com/beliavsky/standard-deviation-estimators","last_synced_at":"2026-01-05T09:08:25.804Z","repository":{"id":129408249,"uuid":"430521023","full_name":"Beliavsky/Standard-Deviation-Estimators","owner":"Beliavsky","description":"simulate some estimators of the standard deviation","archived":false,"fork":false,"pushed_at":"2021-11-23T13:15:00.000Z","size":15,"stargazers_count":1,"open_issues_count":0,"forks_count":0,"subscribers_count":2,"default_branch":"main","last_synced_at":"2025-01-30T07:42:42.786Z","etag":null,"topics":["statistics"],"latest_commit_sha":null,"homepage":"","language":"Fortran","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/Beliavsky.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2021-11-22T01:06:01.000Z","updated_at":"2022-02-12T03:09:19.000Z","dependencies_parsed_at":"2023-03-13T11:23:17.146Z","dependency_job_id":null,"html_url":"https://github.com/Beliavsky/Standard-Deviation-Estimators","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Beliavsky%2FStandard-Deviation-Estimators","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Beliavsky%2FStandard-Deviation-Estimators/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Beliavsky%2FStandard-Deviation-Estimators/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Beliavsky%2FStandard-Deviation-Estimators/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/Beliavsky","download_url":"https://codeload.github.com/Beliavsky/Standard-Deviation-Estimators/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":245423920,"owners_count":20612868,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["statistics"],"created_at":"2024-12-03T00:18:17.134Z","updated_at":"2026-01-05T09:08:25.799Z","avatar_url":"https://github.com/Beliavsky.png","language":"Fortran","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Standard Deviation Estimators\nSimulate some estimators of the standard deviation presented at the [Wikipedia](https://en.wikipedia.org/wiki/Standard_deviation), as [discussed](https://fortran-lang.discourse.group/t/simulating-estimators-for-the-standard-deviation/2317) at Fortran Discourse.\n\u003cbr\u003eCompile with ```gfortran kind.f90 stdev.f90 ziggurat.f90 xstdev.f90```.\n\nTruncated output:\n\n```OVERALL\n        method        avg_sd          rmse     avg_error\n             1  0.9924683782  0.0002245609  0.0567451915\n             2  0.9974682505  0.0002245620  0.0566951266\n             3  0.9999966912  0.0002249881  0.0567783850\n             4  0.9999902820  0.0002249867  0.0567780829\n             5  0.9949588924  0.0002244215  0.0566846522\n```\n\nBesides method 2, which divides the sum of squared deviations by `(n-1)`, method 5, which divides by `(n-0.5)`, also looks good, having lower bias and RMSE than method 1, which divides by `n`.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbeliavsky%2Fstandard-deviation-estimators","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fbeliavsky%2Fstandard-deviation-estimators","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fbeliavsky%2Fstandard-deviation-estimators/lists"}