$#C+1 = 40 : ~/encyclopedia/old_files/data/P072/P.0702730 Pitman estimator
E. Pitman [[#References|[1]]] has shown that the equivariant estimator $ \widehat \
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...imit exists), is called the asymptotic relative efficiency in the sense of Pitman. Similarly one defines the asymptotic relative efficiency in the sense of B
Each of these definitions has its own merits and shortfalls. For example, the Pitman efficiency is, as a rule, easier to calculate than the Bahadur one (the cal
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| This article ''Edwin James George Pitman'' was adapted from an original article by Evan J. Williams, which appeared
'''Edwin James George PITMAN'''
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...]] || University of California, Berkeley || [http://www.stat.berkeley.edu/~pitman/ Home Page]
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...an] Glazman, "Theory of linear operators in Hilbert space" , '''1–2''' , Pitman (1980) (Translated from Russian)</TD></TR></table>
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and by J. Pitman as $ ( 2S _ {t} - B _ {t} ,t \geq 0 ) $,
...er (1981)</TD></TR><TR><TD valign="top">[a4]</TD> <TD valign="top"> J.W. Pitman, M. Yor, "A decomposition of Bessel bridges" ''Z. Wahrscheinlichkeitst
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...TD> <TD valign="top"> J.A. Todd, "Projective and analytical geometry" , Pitman (1947) pp. Chapt. VI</TD></TR></table>
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...a1]</TD> <TD valign="top"> K.R. Goodearl, "Von Neumann regular rings" , Pitman (1979)</TD></TR>
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....M. Glazman, "Theory of linear operators in Hilbert space" , '''1–2''' , Pitman (1981) (Translated from Russian)</TD></TR>
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....M. Glazman, "Theory of linear operators in Hilbert space" , '''1–2''' , Pitman (1981) (Translated from Russian)</TD></TR>
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...o (ed.) , ''Free boundary problems: theory and application'' , '''1–2''' , Pitman (1983) {{MR|0714899}} {{ZBL|}} </TD></TR><TR><TD valign="top">[3]</TD> <TD
...(ed.) , ''Free boundary problems: applications and theory'' , '''3–4''' , Pitman (1985) {{MR|0903283}} {{MR|0863154}} {{ZBL|0578.35003}} </TD></TR><TR><TD v
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...I.M. Glazman, "Theory of linear operators in Hilbert space" , '''1''' , Pitman (1980) (Translated from Russian)</TD></TR><TR><TD valign="top">[3]</TD> <
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...valign="top"> M. de Wilde, "Closed graph theorems and webbed spaces" , Pitman (1978)</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> H.H. Sch
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....M. Glazman, "Theory of linear operators in Hilbert space" , '''1–2''' , Pitman (1981) (Translated from Russian) {{ZBL|0467.47001}}</TD></TR>
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...us probability density $f(x-\theta)$, $|x|<\infty$, $|\theta|<\infty$. The Pitman estimator
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...align="top"> C.H. Sah, "Hilbert's third problem: scissors congruence" , Pitman (1979)</TD></TR>
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...Elements of the theory of functions and functional analysis" , '''1–2''' , Pitman (1981) (Translated from Russian)</TD></TR><TR><TD valign="top">[3]</TD> <
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'''Keywords:''' Pitman efficiency, Bahadur exact slope, Hodges-Lehmann index, Kullback-Leibler inf
respectively the Pitman, Bahadur and Hodges--Lehmann asymptotic
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....R.J. Chillingworth, "Differential topology with a view to applications" , Pitman (1976) pp. 221ff {{MR|0646088}} {{ZBL|0336.58001}} </TD></TR></table>
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...Elements of the theory of functions and functional analysis" , '''1–2''' , Pitman (1981) (Translated from Russian)</TD></TR>
2 KB (321 words) - 18:58, 7 September 2017