{"id":"https://openalex.org/W2188158985","doi":null,"title":"WHERE IS THE FISHER INFORMATION IN AN ORDERED SAMPLE","display_name":"WHERE IS THE FISHER INFORMATION IN AN ORDERED SAMPLE","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2188158985","mag":"2188158985"},"language":"en","primary_location":{"id":"mag:2188158985","doi":null,"is_oa":false,"landing_page_url":"http://www3.stat.sinica.edu.tw/statistica/oldpdf/A10n415.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101506714","display_name":"Gang Zheng","orcid":"https://orcid.org/0000-0003-4326-7226","observed_orcids":["https://orcid.org/0000-0003-4326-7226"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gang Zheng","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4326-7226","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5021711645","display_name":"Joseph L. Gastwirth","orcid":"https://orcid.org/0000-0002-0760-2739","observed_orcids":["https://orcid.org/0000-0002-0760-2739"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joseph L. Gastwirth","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0760-2739","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2736,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.91145303,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.010099999606609344,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.002400000113993883,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.9789999723434448},{"id":"https://openalex.org/keywords/censored-data","display_name":"censored data","score":0.7730000019073486},{"id":"https://openalex.org/keywords/order-statistics","display_name":"order statistics","score":0.7509999871253967},{"id":"https://openalex.org/keywords/location-parameter-estimation","display_name":"location parameter estimation","score":0.699999988079071},{"id":"https://openalex.org/keywords/scale-parameter-estimation","display_name":"scale parameter estimation","score":0.9559999704360962},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.8370000123977661},{"id":"https://openalex.org/keywords/laplace-distribution","display_name":"Laplace distribution","score":0.9990000128746033},{"id":"https://openalex.org/keywords/logistic-distribution","display_name":"logistic distribution","score":0.996999979019165},{"id":"https://openalex.org/keywords/normal-distribution","display_name":"normal distribution","score":0.996999979019165}],"concepts":[{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.8428986668586731},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7284712791442871},{"id":"https://openalex.org/C18294631","wikidata":"https://www.wikidata.org/wiki/Q2621185","display_name":"Location parameter","level":3,"score":0.6600440144538879},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.658014178276062},{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.6478286385536194},{"id":"https://openalex.org/C91716921","wikidata":"https://www.wikidata.org/wiki/Q1289366","display_name":"Scale parameter","level":2,"score":0.5655832290649414},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.5128989219665527},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.49549901485443115},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.48956212401390076},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.43923261761665344},{"id":"https://openalex.org/C207798031","wikidata":"https://www.wikidata.org/wiki/Q8563425","display_name":"Fisher kernel","level":5,"score":0.418615460395813},{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.41610345244407654},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.41177207231521606},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.10344907641410828},{"id":"https://openalex.org/C31510193","wikidata":"https://www.wikidata.org/wiki/Q1192553","display_name":"Facial recognition system","level":3,"score":0.0},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"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/C181367576","wikidata":"https://www.wikidata.org/wiki/Q6394184","display_name":"Kernel Fisher discriminant analysis","level":4,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2188158985","doi":null,"is_oa":false,"landing_page_url":"http://www3.stat.sinica.edu.tw/statistica/oldpdf/A10n415.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W83899963","https://openalex.org/W1581366530","https://openalex.org/W1964894347","https://openalex.org/W1966527411","https://openalex.org/W1968437887","https://openalex.org/W1972566316","https://openalex.org/W1978610215","https://openalex.org/W1983050180","https://openalex.org/W1992722272","https://openalex.org/W1999538654","https://openalex.org/W2009373886","https://openalex.org/W2016368041","https://openalex.org/W2029289346","https://openalex.org/W2030121826","https://openalex.org/W2030297451","https://openalex.org/W2041151195","https://openalex.org/W2051008597","https://openalex.org/W2060125983","https://openalex.org/W2060900941","https://openalex.org/W2085782272","https://openalex.org/W2086042508","https://openalex.org/W2151184135","https://openalex.org/W2281053437","https://openalex.org/W2318245334","https://openalex.org/W2322605814","https://openalex.org/W2330622735","https://openalex.org/W2403035479","https://openalex.org/W3015347397"],"related_works":["https://openalex.org/W2086042508","https://openalex.org/W1968437887","https://openalex.org/W2318245334","https://openalex.org/W2023056273","https://openalex.org/W1979892050","https://openalex.org/W1545899589","https://openalex.org/W172014469","https://openalex.org/W2177530089","https://openalex.org/W2015494328","https://openalex.org/W2151184135","https://openalex.org/W2109533003","https://openalex.org/W2041151195","https://openalex.org/W2029289346","https://openalex.org/W1964894347","https://openalex.org/W2512175483","https://openalex.org/W1976446304","https://openalex.org/W2886141528","https://openalex.org/W2293376402","https://openalex.org/W2054546140","https://openalex.org/W1979980510"],"abstract_inverted_index":{"Suppose":[0],"we":[1],"have":[2],"a":[3],"random":[4],"sample":[5],"of":[6,25,30,61,81,89,105,111],"size":[7],"n":[8],"with":[9],"multiple":[10],"censoring.":[11],"The":[12,39,65],"exact":[13],"Fisher":[14,47,91],"information":[15,48,92],"in":[16,23,56],"the":[17,50,57,76,82,90,94,103,112],"data":[18,32,84],"is":[19,54],"derived":[20],"and":[21,73],"expressed":[22],"terms":[24],"matrices":[26],"when":[27],"each":[28],"block":[29],"censored":[31],"contains":[33,85],"at":[34],"least":[35],"two":[36,106],"order":[37],"statistics.":[38],"results":[40,66,99],"are":[41],"applied":[42],"to":[43],"determine":[44],"how":[45],"much":[46],"about":[49,93],"location":[51,95,113],"(scale)":[52,96],"parameter":[53],"contained":[55],"middle":[58,77],"(two":[59],"tails)":[60],"an":[62],"ordered":[63,83],"sample.":[64],"show":[67],"that,":[68],"for":[69],"Cauchy,":[70],"Laplace,":[71],"logistic,":[72],"normal":[74],"distributions,":[75],"40%":[78],"(extreme":[79],"half)":[80],"more":[86],"than":[87],"80%":[88],"parameter.":[97,114],"These":[98],"provide":[100],"insight":[101],"into":[102],"behavior":[104],"well-known":[107],"robust":[108],"linear":[109],"estimators":[110]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T04:12:42.849631","created_date":"2025-10-10T00:00:00"}
