| bibtype |
M -
Monography Chapter
|
| ARLID |
0331116 |
| utime |
20240103192246.9 |
| mtime |
20091102235959.9 |
| title
(primary) (eng) |
f-divergences: Sufficiency, deficiency and testing of hypotheses |
| specification |
| page_count |
37 s. |
| book_pages |
227 |
|
| serial |
| ARLID |
cav_un_epca*0331115 |
| ISBN |
1-60021-943-8 |
| title
|
Advances in Inequalities from Probability Theory and Statistics |
| page_num |
113-149 |
| publisher |
| place |
Toronto |
| name |
Nova Publishers |
| year |
2008 |
|
| editor |
|
| editor |
| name1 |
Dragomir |
| name2 |
Sever |
|
|
| title
(cze) |
f-divergence: suficientnost, deficientnost a testování hypotéz |
| keyword |
divergence |
| keyword |
sufficiency |
| keyword |
testing errors |
| keyword |
information gain |
| keyword |
deficiency |
| keyword |
exponential rate |
| author
(primary) |
| ARLID |
cav_un_auth*0101218 |
| name1 |
Vajda |
| name2 |
Igor |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0015549 |
| name1 |
Liese |
| name2 |
F. |
| country |
DE |
|
| source |
|
| cas_special |
| project |
| project_id |
1M0572 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0001814 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
f-divergences are studied for general probability measures and general convex functions f. Their representation by means of information gains is established and used to derive some new properties, and also to derive in a new manner some known properties. Statistical sufficiency and deficiency in the problem of testing hypotheses is characterized by means of f-divergences and the rate of convergence of the testing errors for increasing sigma-algebras is evaluated in some important cases. |
| abstract
(cze) |
Studují se f-divergence obecných pravděpodobnostních měr při obecných konvexních funkcích. Ustavena je jejich reprezentace pomocí středních hodnot informačních zisků a tato je využita k odvození některých nových vlastností, resp. novému odvození některých známých vlastností. Statistická suficientnost a deficientnost v testovacích problemech jsou vyjádřeny pomocí f-divergencí a rychlost konvergence testovacích chyb pri rostoucích sigma-algebrách je stanovena v některých důležitých případech. |
| reportyear |
2010 |
| RIV |
BB |
| permalink |
http://hdl.handle.net/11104/0176728 |
| arlyear |
2008 |
| mrcbU63 |
cav_un_epca*0331115 Advances in Inequalities from Probability Theory and Statistics 1-60021-943-8 113 149 Pokroky v nerovnostech pro teorii pravděpodobnosti a statistiku Toronto Nova Publishers 2008 Advances in Mathematical Inequalities |
| mrcbU67 |
Barnett Neil 340 |
| mrcbU67 |
Dragomir Sever 340 |
|