Atomic functions in nonparametric estimations of probability density functions and their derivatives
Nonparametric estimations of probability density function (PDF) [1-3] and its derivatives are considered. New constructions of weight functions (WF) [4, 5] with the compact support are offered and proved, allowing to build admissible estimations, both the density of probability and its derivatives 1...
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| creator | Kravchenko, Victor F. Churikov, Dmitry V. |
| description | Nonparametric estimations of probability density function (PDF) [1-3] and its derivatives are considered. New constructions of weight functions (WF) [4, 5] with the compact support are offered and proved, allowing to build admissible estimations, both the density of probability and its derivatives 1st and 2nd orders. The numerical experiment and the physical analysis of its results confirm efficiency of nonparametric characteristics estimation of stochastic process. |
| doi_str_mv | 10.1109/DD.2011.6094374 |
| format | Conference Proceeding |
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New constructions of weight functions (WF) [4, 5] with the compact support are offered and proved, allowing to build admissible estimations, both the density of probability and its derivatives 1st and 2nd orders. 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New constructions of weight functions (WF) [4, 5] with the compact support are offered and proved, allowing to build admissible estimations, both the density of probability and its derivatives 1st and 2nd orders. The numerical experiment and the physical analysis of its results confirm efficiency of nonparametric characteristics estimation of stochastic process.</description><subject>Atomic measurements</subject><subject>Diffraction</subject><subject>Estimation</subject><subject>Image processing</subject><subject>Probability density function</subject><subject>Stochastic processes</subject><subject>Time frequency analysis</subject><isbn>9781457715778</isbn><isbn>1457715775</isbn><isbn>1457715791</isbn><isbn>9781457715792</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2011</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpFkEFLAzEQhSMiqHXPHrzkD-yaNJtkcyytVqHgpfcyu5lgpJstSSz03xtpxbm8GT7e4zGEPHLWcM7M82rVzBnnjWKmFbq9Ive8lVpzqQ2_JpXR3d-tu1tSpfTFyijWCS3uiF3kafQDdd9hyH4KifpAwxQOEGHEHAvClP0IZzg5eohTD73f-3yiFkP61X83BEvzJ_pYWPTHYjtieiA3DvYJq4vOyPb1Zbt8qzcf6_flYlN7w3KtlUVpBzkAohEOHPIelNPtHJyTDjRopQZQTBjL0SkDjPWD63VZpQAQM_J0jvWIuDvE0jqedpe_iB-ox1pm</recordid><startdate>201105</startdate><enddate>201105</enddate><creator>Kravchenko, Victor F.</creator><creator>Churikov, Dmitry V.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201105</creationdate><title>Atomic functions in nonparametric estimations of probability density functions and their derivatives</title><author>Kravchenko, Victor F. ; Churikov, Dmitry V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-76de5dc5caee93fafe1ba6f742aff5fa7a766ca6039d1ef69a00bcfb7f6953aa3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Atomic measurements</topic><topic>Diffraction</topic><topic>Estimation</topic><topic>Image processing</topic><topic>Probability density function</topic><topic>Stochastic processes</topic><topic>Time frequency analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Kravchenko, Victor F.</creatorcontrib><creatorcontrib>Churikov, Dmitry V.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kravchenko, Victor F.</au><au>Churikov, Dmitry V.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Atomic functions in nonparametric estimations of probability density functions and their derivatives</atitle><btitle>Days on Diffraction 2011</btitle><stitle>DD</stitle><date>2011-05</date><risdate>2011</risdate><spage>103</spage><epage>105</epage><pages>103-105</pages><isbn>9781457715778</isbn><isbn>1457715775</isbn><eisbn>1457715791</eisbn><eisbn>9781457715792</eisbn><abstract>Nonparametric estimations of probability density function (PDF) [1-3] and its derivatives are considered. New constructions of weight functions (WF) [4, 5] with the compact support are offered and proved, allowing to build admissible estimations, both the density of probability and its derivatives 1st and 2nd orders. The numerical experiment and the physical analysis of its results confirm efficiency of nonparametric characteristics estimation of stochastic process.</abstract><pub>IEEE</pub><doi>10.1109/DD.2011.6094374</doi><tpages>3</tpages></addata></record> |
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| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Atomic measurements Diffraction Estimation Image processing Probability density function Stochastic processes Time frequency analysis |
| title | Atomic functions in nonparametric estimations of probability density functions and their derivatives |
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