{"id":"https://openalex.org/W36243694","doi":"https://doi.org/10.1007/978-3-642-40925-7_39","title":"Modified Moment Method Estimator for the Shape Parameter of Generalized Gaussian Distribution for a Small Sample Size","display_name":"Modified Moment Method Estimator for the Shape Parameter of Generalized Gaussian Distribution for a Small Sample Size","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W36243694","doi":"https://doi.org/10.1007/978-3-642-40925-7_39","mag":"36243694"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40925-7_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40925-7_39","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://inria.hal.science/hal-01496087","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083552660","display_name":"Robert Krupi\u0144ski","orcid":"https://orcid.org/0000-0002-8575-4148"},"institutions":[{"id":"https://openalex.org/I155313962","display_name":"West Pomeranian University of Technology","ror":"https://ror.org/0596m7f19","country_code":"PL","type":"education","lineage":["https://openalex.org/I155313962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Robert Krupi\u0144ski","raw_affiliation_strings":["Signal Processing and Multimedia Engineering, West-Pomeranian University of Technology in Szczecin, ul. 26-Kwietnia 10, 71-126, Szczecin, Poland"],"affiliations":[{"raw_affiliation_string":"Signal Processing and Multimedia Engineering, West-Pomeranian University of Technology in Szczecin, ul. 26-Kwietnia 10, 71-126, Szczecin, Poland","institution_ids":["https://openalex.org/I155313962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083552660"],"corresponding_institution_ids":["https://openalex.org/I155313962"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":2.7564,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.88696809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"420","last_page":"429"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9682999849319458,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7615258097648621},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.7586864829063416},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.6197099685668945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.613088846206665},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5977284908294678},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5918614864349365},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5573853850364685},{"id":"https://openalex.org/keywords/l-moment","display_name":"L-moment","score":0.5075303316116333},{"id":"https://openalex.org/keywords/second-moment-of-area","display_name":"Second moment of area","score":0.49040865898132324},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4291515648365021},{"id":"https://openalex.org/keywords/bias-of-an-estimator","display_name":"Bias of an estimator","score":0.41735172271728516},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.38725167512893677},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.24984973669052124},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07974877953529358}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7615258097648621},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.7586864829063416},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.6197099685668945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.613088846206665},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5977284908294678},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5918614864349365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5573853850364685},{"id":"https://openalex.org/C1797436","wikidata":"https://www.wikidata.org/wiki/Q6456145","display_name":"L-moment","level":3,"score":0.5075303316116333},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.49040865898132324},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4291515648365021},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.41735172271728516},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.38725167512893677},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.24984973669052124},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07974877953529358},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-40925-7_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40925-7_39","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01496087v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01496087","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"12th International Conference on Information Systems and Industrial Management (CISIM), Sep 2013, Krakow, Poland. pp.420-429, &#x27E8;10.1007/978-3-642-40925-7_39&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01496087v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01496087","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"12th International Conference on Information Systems and Industrial Management (CISIM), Sep 2013, Krakow, Poland. pp.420-429, &#x27E8;10.1007/978-3-642-40925-7_39&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2045908320","https://openalex.org/W2052199757","https://openalex.org/W2057817591","https://openalex.org/W2119111184","https://openalex.org/W2132984323","https://openalex.org/W2139563759","https://openalex.org/W2140638323","https://openalex.org/W2156273867","https://openalex.org/W4251375806","https://openalex.org/W4285719527","https://openalex.org/W4300476846"],"related_works":["https://openalex.org/W2349547417","https://openalex.org/W4237435333","https://openalex.org/W4210503132","https://openalex.org/W2999390738","https://openalex.org/W2352602506","https://openalex.org/W3092888124","https://openalex.org/W4239491110","https://openalex.org/W2368191880","https://openalex.org/W2910434125","https://openalex.org/W2035998077"],"abstract_inverted_index":{"The":[0,53],"moment":[1,39,64,90],"method":[2,40,65,91],"(MM)":[3],"estimator":[4,35],"for":[5,49,82],"the":[6,27,31,34,38,63,72,89],"shape":[7],"parameter":[8],"of":[9,23,33],"generalized":[10],"Gaussian":[11],"distribution":[12],"(GGD)":[13],"assume":[14],"asymptotic":[15],"case":[16],"when":[17],"there":[18],"is":[19],"available":[20],"infinite":[21],"number":[22],"observations,":[24],"but":[25],"with":[26],"smaller":[28,84],"sample":[29,51,85],"size":[30,86],"variance":[32],"increases":[36],"and":[37,78],"equation":[41,66],"may":[42],"not":[43],"converge":[44],"to":[45,68,88],"a":[46,69,80,83],"real":[47],"solution":[48,81],"some":[50],"sets.":[52],"higher":[54],"order":[55],"moments":[56],"can":[57],"be":[58],"expanded":[59],"into":[60],"series":[61],"in":[62,71],"leading":[67],"drop":[70],"relative":[73],"mean":[74],"square":[75],"error":[76],"(RMSE)":[77],"assuring":[79],"comparing":[87],"without":[92],"modification.":[93]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
