• Nie Znaleziono Wyników

Estimation of a quantile using Pareto sampling scheme

N/A
N/A
Protected

Academic year: 2021

Share "Estimation of a quantile using Pareto sampling scheme"

Copied!
8
0
0

Pełen tekst

(1)

! " # $ % & ' ( ) * & " " & * # + , - . & ( % * & * # /,+& #,(!,%,0&! ##1234#1565# !"#$%&$' ()*+", -#

!"#$%"#&'(&)(%(*+%'"#, (+!#'-(.%/ "&(

!%$.,#'-(!01 $ (

# # ( %23456748( ,78# 9:# ;9<=# >9;;97# ;8=?9@<# 9:# A=BCBDB7E# FGFBCFHC8# FAIBCBFJK# B7:9J;F=B97# =9#

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

B $

=

!

"

K 4

# =?8#

L9LACF=B97# ;8F7# S =K T%# 9J# =?8# L9LACF=B97# QAF7=BC8# 9:# =?8# 9J@8J# L# U9J# LP QAF7=BC8VW##

#

# # XLU$V#Y#U6PEVKUNVZEKUNZ6V## ###########U6V#

#

M?8J8# NY[J\4# E# Y# JP[J\4# JY%]LZ5O3# M?BC8# KU6V4OOO4KU%V# @879=8# GFCA8<# 9:# S# B7# $# FJJF7E8@#B7#B7>J8F<B7E#9J@8J#F7@#=?8#<K;H9C#[O\#J8LJ8<87=<#J9A7@B7E#@9M7#=9#=?8# 78FJ8<=# B7=8E8J# U^BC>?JB<=#1555VO# #JF7@9;# <F;LC8# <# 9:# <BD8# 7# B<# @JFM7# :J9;# $# F>>9J@B7E# =9# <9;8# E878JFC# <F;LCB7E# @8<BE7# LU<V# @8=8J;B7B7E# B7>CA<B97# LJ9HFHBCB=B8<# 9:# =?8# :BJ<=# 9J@8J# _B# :9J# B!$# F7@# B7>CA<B97# LJ9HFHBCB=B8<# 9:# =?8# <8>97@#9J@8J#_B`#:9J#Ba`!$O#"?8#L9LACF=B97#=9=FC#;FK#=?87#H8#8<=B;F=8@#MB=?9A=# HBF<# HK# =?8# M8CCPN79M7# b9JGB=DP"?9;L<97# 8<=B;F=9J#

"

!< # B B B K K =c O# /9J# :BI8@P <BD8#<F;LCB7E#@8<BE7<#B=<#GFJBF7>8#;FK#H8#8ILJ8<<8@#HK#=?8#:9J;ACF#USF=8<#F7@# ^JA7@K#U6d32VVW# ################################################# e #R?O-O#-8LFJ=;87=#9:#*=F=B<=B><4#$7BG8J<B=K#9:#(>979;B><4#fF=9MB>8O#

(2)

# # #

"

!

$

$

%

&

'

'

(

)

#

*

#

#

#

*

#

*

$ ` 4 B 1 ` ` B B ` B B` K

K

K

V

U

1

6

V

=c

U

'

############ ##########U1V# #

"?B<# 9HGB9A<CK# <AEE8<=<# =?F=# =?8# GFJBF7>8# MBCC# H8# J8@A>8@# B:# :BJ<=# 9J@8J# B7>CA<B97# LJ9HFHBCB=B8<# FJ8# LJ9L9J=B97FC# U9J# FLLJ9IB;F=8CK# LJ9L9J=B97FCV# =9# SO# 7@# ?87>8# =?8# GFCA8<# 9:# S# FJ8# A7N79M74# B=# B<# 9:=87# F==8;L=8@# =9# <8=# _Bh<# LJ9L9J=B97FC#=9#<9;8#9=?8J4#9H<8JG8@#>?FJF>=8JB<=B>#i#=FNB7E#:BI8@#GFCA8<#I64OOO4I%# :9J#FCC#L9LACF=B97#A7B=<O# =#=?8#<F;8#=B;8#B=#B<#78>8<<FJK#=9#EAFJF7=88#=?8#:BI8@# <F;LC8# <BD8# B7# 9J@8J# :9J# =?8# 8ILJ8<<B97# U1V# =9# H8# GFCB@# U9=?8JMB<8# F79=?8J# =8J;# F<<9>BF=8@# MB=?# <F;LC8# <BD8# GFJBFHBCB=K# M9AC@# FLL8FJ# B7# =?8# GFJBF7>8# :9J;ACFVO# *8G8JFC#<F;LCB7E#<>?8;8<#M8J8#>97<=JA>=8@#=9#<B;AC=F789A<CK#<F=B<:K#H9=?#=?8<8# J8QABJ8;87=<4# B7>CA@B7E# =?8# <>?8;8# 9:# +F?BJBP0B@DA794# bFJ=C8KP)F94# )F9PbFJ=C8KP!9>?JF7#9J#*A7=8J#UjJF>?F#U6ddkVVO#&7#=?B<#LFL8J#F#RFJ8=9#<F;LCB7E# <>?8;8#B<#>97<B@8J8@O#&=#FB;<#=9#F>?B8G8#:BJ<=P9J@8J#B7>CA<B97#LJ9HFHBCB=B8<#8QAFC# =9#

+

,

6 $ ` ` B B 7I I * !

"

# #:9J#B!$O#&:#=?B<#@8<BJ8@#B7>CA<B97#LJ9HFHBCB=K#B<#EJ8F=8J# =?F7#978#:9J#<9;8#L9LACF=B97#A7B=#=?87#B=#B<#<8=#=9#978#F7@#B7>CA<B97#LJ9HFHBCB=B8<# :9J#J8;FB7B7E#A7B=<#FJ8#J8>9;LA=8@#F>>9J@B7ECK#U=?B<#B<#J8L8F=8@#:9J#9=?8J#A7B=<#B:# 78>8<<FJKVO# "?8# <F;LCB7E# LJ9>8@AJ8# B<# 8I8>A=8@# B7# =M9# <=8L<O# &7# =?8# :B<=# <=8L## F# L<8A@9PJF7@9;# GFJBFHC8# AB# :9CC9MB7E# =?8# A7B:9J;# @B<=JBHA=B97# 97# =?8# l546m# B7=8JGFC#B<#E878JF=8@#:9J#8F>?#L9LACF=B97#A7B=O#"?87#=?8#:9CC9MB7E#8ILJ8<<B97#B<# 8GFCAF=8@#:9J#8F>?#L9LACF=B97#A7B=W# # # # # V A 6 U V 6 U A Q B B B B B # * # * # #################U2V# # &7#=?8#<8>97@#<=8L#7#L9LACF=B97#A7B=<#?FGB7E#C9M8<=#GFCA8<#9:#QB#FJ8#<8C8>=8@# =9# =?8# <F;LC8# <O# "?B<# EAFJF7=88<# >97<=F7=# <F;LC8# <BD8O# &=# ?F<# H887# <?9M7# HK# )9<87# U6ddnV# =?F=# <A>?# F# LJ9>8@AJ8# FC<9# LJ9GB@8<# =JA8# :BJ<=# 9J@8J# B7>CA<B97# LJ9HFHBCB=B8<# FLLJ9IB;F=8CK# 8QAFC# =9# @8<BJ8@# 978<O# +8=# A<# FC<9# 79=8# =?F=# 8IF>=# B7>CA<B97#LJ9HFHBCB=B8<#9:#=?8#:BJ<=#F7@#<8>97@#9J@8J#;FK#H8#>9;LA=8@#F>>9J@B7E# =9#=?8#LJ9>8@AJ8#>97<B@8J8@#HK# BJ8<#U1555VO# # ( ##8(*+%'"#, ( !"#$%"#&'()&/('&'A!#$., (!%$., !( # /9J#F#<B;LC8#<F;LC8#F7#9:=87#A<8@#8<=B;F=9J#9:#=?8#L9LACF=B97#QAF7=BC8#B<#B=<# <F;LC8#F7FC9E4#>9;LA=8@#F>>9J@B7E#=9#=?8#:9J;ACFW# #

(3)

(<=B;F=B97#9:#F#XAF7=BC8#$<B7E#RFJ8=9#*F;LCB7E#*>?8;8( 22# # # #

X

L

U

<

V

U

6

*

E

.

V

K

.

UN.V

-

E

.

/

K

U

.

N.-6V## #######################UoV# #

M?8J8#

N

.

[

J

.

\

4#

E

.

J

.

*

[

J

.

\

4#

J

.

7

/

L

-

5

O

3

#M?BC8#

K

.

U6V

4OOO4

K

.

U7V#@879=8#GFCA8<# 9:#S#B7#<#FJJF7E8@#B7#F7#B7>J8F<B7E#9J@8J#UbK7@;F7#F7@#/F7#U6ddkVVO#b9M8G8J4# RFJ8=9# <F;LCB7E# C8F@<# =9# A7@8JJ8LJ8<87=F=B97# 9:# A7B=<# MB=?# J8CF=BG8CK# C9M## SPGFCA8<# B7# =?8# <F;LC8# M?B>?# @B<=9J=<# =?8# @B<=JBHA=B97# 9:# =?8# <F;LC8# QAF7=BC8O## # L9<B=BG8# HBF<# B<# B7=J9@A>8@# =?F=# @98<# 79=# @B;B7B<?# MB=?# EJ9MB7E# <F;LC8# <BD8O# b87>84# :9J# 797P<B;LC8# <F;LC8# M8# >97<B@8J# F79=?8J# 8<=B;F=9J# 9:# =?8# LPQAF7=BC84# >97<=JA>=8@#:9CC9MB7E#=?8#E878JFC#J8PM8BE?=B7E#FLLJ9F>?#9A=CB78@#HK#*pJ7@FC#8=# FC#U6dd1VO#&=#=FN8<#=?8#:9J;W# # # # #

U

K

K

V

V

N

U

g

V

6

N

U

g

V

N

U

g

L

K

V

<

U

X

c

Le UNV .UN 6V * .UNV * -* -. - ############### ###U3V# # M?8J8## # # # # UNV 6 N 6 B V B U

5

O

3

M

M

V

N

U

g

"

-

/

* ########## #UkV# #

F7@# gUNVqLlgUNZ6V# # M?BC8# # MU6V4OOO4MU7V# # J8LJ8<87=<# F7# FJJF7E8@# B7# B7>J8F<B7E# 9J@8J#<8QA87>8#9:#M8BE?=<#M64OO4M7#>9JJ8<L97@B7E#=9#J8<L8>=BG8#<F;LC8#A7B=<#F7@# >9;LA=8@#F<W# # 6 < ` 6 ` B B M * ! * $$ % & '' ( ) # #

"

# # /9J#<B;LC8#<F;LC8#M8#?FG8#MBY7P6#:9J#B!$#F7@#=?B<#8<=B;F=9J#B<#8QABGFC87=#=9# UoVO#/9J#797#<B;LC8#<F;LC8<#=?8<8#8<=B;F=9J<#FJ8#E878JFCCK#79=#8QABGFC87=O# ( ( ###8(!#$+,%"#&'(!"+@B( #

# <B;ACF=B97# <=A@K# MF<# >FJJB8@# 9A=# =9# >9;LFJ8# 8;LBJB>FC# @B<=JBHA=B97<# 9:# QAF7=BC8# 8<=B;F=9J<# :9J# <B;LC8# JF7@9;# <F;LCB7E# MB=?9A=# J8LCF>8;87=# F7@# 797# <B;LC8# <F;LC8<# @JFM7# A<B7E# RFJ8=9# <>?8;8O# "?8# M8CCPN79M7# )0"1ro# L9LACF=B97# LAHCB<?8@# HK# *pJ7@FC# 8=# FC# U6dd1V# F7@# >?FJF>=8JBDB7E# *M8@B<?# ;A7B>BLFCB=B8<#J8LJ8<87=8@#=?8#L9LACF=B97#A7@8J#<=A@KO#"?8#GFJBFHC8#A7@8J#<=A@K# S#MF<#=?8#J8G87A8#:J9;#;A7B>BLFC#=FIF=B97#B7#6dr3#UGFJBFHC8#)0"r3V#M?BC8#J8FC#

(4)

8<=F=8# GFCA8<# B7# =?8# K8FJ# 6dro# UGFJBFHC8# )('roV# M8J8# A<8@# F<# F7# FAIBCBFJK# GFJBFHC8#iO#bB<=9EJF;<#BCCA<=JF=B7E#=?8#8;LBJB>FC#@B<=JBHA=B97#9:#65k#8<=B;F=8<#9:# =?8# LPQAF7=BC8# :9J# LY5O13# F7@# LY5O3# FJ8# J8<L8>=BG8CK# <?9M7# 97# LB>O# 6O# F7@# 1O# jCF>N# G8J=B>FC# CB78<# 97# FCC# =?8<8# EJFL?<# J8LJ8<87=# =JA8# GFCA8<# 9:# =?8# 8<=B;F=8@# QAF7=BC8O# # !"#$% !" # $ " % & ' ( )( *(( *)( +(( +)( ,(( ( " -( ( . " -( ) &'(%)*+,-.*((%.)%/ !" # $ " % & ' ( )( *(( *)( +(( +)( ,(( ( * ) ( ( ( ( &'(%)*+.*((%.)%/ !" # $ " % & ' ( )( *(( *)( +(( +)( ,(( ( + ( ( ( ( ( # RB>O6#(;LBJB>FC#@B<=JBHA=B97<#9:#QAF7=BC8#8<=B;F=9J<#:9J#LY5O13#

(5)

(<=B;F=B97#9:#F#XAF7=BC8#$<B7E#RFJ8=9#*F;LCB7E#*>?8;8( 23# !"#$% !" # $ " % & ' ( *(( +(( ,(( .(( )(( ( * ) ( ( ( ( &'(%)*+,-.*((%.)%/ !" # $ " % & ' ( *(( +(( ,(( .(( )(( ( / ( ( ( ( &'(%)*+.*((%.)%/ !" # $ " % & ' ( *(( +(( ,(( .(( )(( ( * ) ( ( ( ( # RB>O1#(;LBJB>FC#@B<=JBHA=B97<#9:#QAF7=BC8#8<=B;F=9J<#:9J#LY5O3# # #

"?8# EJFL?<# FH9G8# <?9M# =?8# 8I=87=# 9:# @B<=9J=B97# B7# =?8# QAF7=BC8# 8<=B;F=8<# M?87# A7>9JJ8>=8@# 8<=B;F=9J# B<# A<8@# MB=?# RFJ8=9# <F;LCB7E# <>?8;8O# &=# B<# FC<9# 8GB@87=4# =?F=# =?8# >9JJ8>=B97# B7=J9@A>8@# B7# =?8# 8<=B;F=9J#

X

c

Le

U

<

V

# <AH<=F7=BFCCK# J8@A>8<#=?B<#A7M8C>9;8#8::8>=O#&=#B<#M9J=?#79=B7E#=?F=#=?8#8;LBJB>FC#@B<=JBHA=B97# 9:# 8<=B;F=8<# B<# QAB=8# BJJ8EACFJ# @8<LB=8# CFJE8# 7A;H8J# 9:# <B;ACF=8@# <F;LC8# J8LCB>F=B97<#s#=?B<#B<#@A8#=9#=?8#BJJ8EACFJ#<=JA>=AJ8#9:#=?8#M?9C8#L9LACF=B97O#

"?8# @8L87@87>K# 9:# =?8# J8CF=BG8# HBF<# U)jV4# J8CF=BG8# J99=# ;8F7# <QAFJ8# 8JJ9J# U))0*(V#F7@#=?8#<?FJ8#9:#HBF<#B7#9G8JFCC#;8F7#<QAFJ8#8JJ9J#Uj*V#B<#BCCA<=JF=8@# 97#LB>O#2O#

(6)

+( .( 0( /( *(( ( 1( * 1( 2 3 +( .( 0( /( *(( ( 1( * 1( +( .( 0( /( *(( ( 1( * 1( +( .( 0( /( *(( ( 1( * 1( + 1( 2 2 4 5 6 +( .( 0( /( *(( ( 1( * 1( + 1( +( .( 0( /( *(( ( 1( * 1( + 1( +( .( 0( /( *(( ( 1( ( 1. ( 1/ 5789:";<<<<<;;;;;;;=>!"?@;$%&@!!"&?"A;B;B;B;B;;;;;;;=>!"?@;&@!!"&?"A;C 3 5 +( .( 0( /( *(( ( 1( ( 1. ( 1/ +( .( 0( /( *(( ( 1( ( 1. ( 1/ # RB>O#2O#)8CF=BG8#HBF<#U)jV4#J8CF=BG8#J99=#;8F7#<QAFJ8#8JJ9J#U))0*(V#F7@#=?8#<?FJ8#9:#HBF<#B7#=?8# =9=FC#;8F7#<QAFJ8#8JJ9J#Uj*V#9:#8<=B;F=9J<#F<#F#:A7>=B97#9:#<F;LC8#<BD8#7O# # # /9J# =?8# >9JJ8>=8@# 8<=B;F=9J# A7@8J# RFJ8=9# <F;LCB7E# FCC# =?8# 9H<8JG8@# LFJF;8=8J<W#)j4#))0*(#F7@#j*#@8>J8F<8#MB=?#EJ9MB7E#7#F7@#=FN8#C9M8J#GFCA8<# =?F7# =?8BJ# 8QABGFC87=<# :9J# =?8# A7>9JJ8>=8@# 8<=B;F=9JO# "?8# CF==8J# B<# FC<9# >?FJF>=8JBD8@# HK# B7>J8F<B7E# HBF<# <?FJ8# M?87# 7# EJ9M<O# 7KMFK4# =?8# <B;LC8# JF7@9;# <F;LCB7E# MB=?# J8LCF>8;87=# LJ9GB@8@# =?8# ;9<=# F==JF>=BG8# LJ9L8J=B8<# 9:# 8<=B;F=9J<#:9J#F7K#GFCA8#9:#74#FC=?9AE?#B=<#F@GF7=FE8#9G8J#=?8#>9JJ8>=8@#8<=B;F=9J# MF<#;9@8<=#9J#U:9J#CFJE8#<F;LC8<V#78ECBEBHC8O#

(7)

(<=B;F=B97#9:#F#XAF7=BC8#$<B7E#RFJ8=9#*F;LCB7E#*>?8;8( 2n# #C8(0&'0,+!#&'!( # *B;ACF=B97#J8<AC=<#>C8FJCK#>97:BJ;#=?F=#A7@8J#RFJ8=9#<F;LCB7E#=?8#>9JJ8>=8@# 8<=B;F=9J# 9:# =?8# LPQAF7=BC8# ?F<# H8==8J# LJ9L8J=B8<# =?F7# =?8# A7>9JJ8>=8@# 978# F7@# <?9AC@#H8#LJ8:8JJ8@O#"?8#9H<8JG8@#J8CF=BG8#HBF<#9:#=?8#>9JJ8>=8@#8<=B;F=9J#F7@#B=<# <?FJ8# B7# =?8# 0*(# FLLFJ87=CK# =87@# =9# D8J9# MB=?# EJ9MB7E# <F;LC8# <BD8# M?B>?# <AEE8<=<# >97<B<=87>KO# b9M8G8J4# RFJ8=9# <F;LCB7E# @B@# 79=# C8F@# =9# F7K# EFB7<# B7# =8J;<# 9:# LJ8>B<B97# M?87# >9;LFJ8@# =9# <B;LC8# JF7@9;# <F;LCB7EO# &7<=8F@4# <9;8# ;9@8<=#C9<<#9:#LJ8>B<B97#MF<#9H<8JG8@O#"?8#>97<B@8J8@#8<=B;F=9J#@98<#79=#A=BCBD8# 8ILCB>B=CK# F7K# FAIBCBFJK# GFJBFHC8<O# b9M8G8J4# =?8# FLLCB>F=B97# 9:# <A>?# @F=F# >9AC@# C8F@#=9#>97<=JA>=B97#9:#H8==8J#QAF7=BC8#8<=B;F=9J<#HF<8@#97#;9@8CPHF<8@#FLLJ9F>?# >97<B@8J8@# :9J# 8IF;LC8# HK# !?F;H8J<# F7@# -A7<=F7# U6drkV4# )F94# f9GFJ# F7@# 0F7=8C#U6dd5V4#9J#)A8@F#8=#FCO#U155oV#

( (

/ ) / '0 !(

#

BJ8<4# %O# U1555V# .&$'/%01&2 ," 3)4$14),& 56)$, 7/$412%"/ 8+"9)9%4%,%&2 :"+ 3"/;%,%"/)4 8"%22"/

<)*=4%/> )/; 8)+&," ?=2 <)*=4%/> @&2%>/24# R?@# =?8<B<4# !?FC;8J<4# ^t=8H9JE# $7BG8J<B=KO#

^t=8H9JEO#

jJF>?F#!DO#U6ddkV#.&"+&,A$B/& =";2,)CA *&,";A +&=+&B&/,)$A#/&##gK@FM7B>=M9#%FAN9M8#Rg%# gFJ<DFMFO#

!?F;H8J<4# )O4# -A7<=F74# )O4# U6drkVO# (<=B;F=B7E# -B<=JBHA=B97# /A7>=B97<# :J9;# *AJG8K# -F=FO# jB9;8=JBNF4#n2#U2VW#3dnsk5oO##

^BC>?JB<=4#gO^O#U1555VW# *=F=B<=B>FC# 09@8CCB7E# MB=?# XAF7=BC8# /A7>=B97<O# !?FL;F7ubFCCT!)!4#j9>F#)F=97O#

bK7@;F7# )OvO4# /F7# S4# U6ddkV# *F;LC8# XAF7=BC8<# B7# *=F=B<=B>FC# RF>NFE8<4# .'& D*&+%$)/

<,),%2,%$%)/4#35UoV4#2k6s2k3O##

)F94# vO# %O# fO4# # f9GFJ# vO^O4# # 0F7=8C4# bO# vO# U6dd5V# ,7# 8<=B;F=B7E# @B<=JBHA=B97# :A7>=B97<# F7@# QAF7=BC8<#:J9;#<AJG8K#@F=F#A<B7E#FAIBCBFJK#B7:9J;F=B974#jB9;8=JBNF##nnU1V4#2k3s2n3O# )9<w7#jO#U6ddnV#,7#<F;LCB7E#MB=?#LJ9HFHBCB=K#LJ9L9J=B97FC#=9#<BD8O#E"1+/)4 ": <,),%2,%$)4 84)//%/>

)/; 7/:&+&/$&4#k14#63ds6d6O#

)A8@F# 0O# 0O4# J>9<# O4# 0FJ=x78DP0BJF7@F# 0O# -O4# )9;y7# SO# U155oV4# *9;8# B;LJ9G8@# 8<=B;F=9J<#9:#:B7B=8#L9LACF=B97#QAF7=BC8#A<B7E#FAIBCBFJK#B7:9J;F=B97#B7#<F;LC8#<AJG8K<4## !9;LA=F=B97FC#*=F=B<=B><#u#-F=F# 7FCK<B<4#o3UoV4#r13srorO#

*pJ7@FC# !O(O4# *M87<<97# jO4# gJ8=;F7# vObO# U6dd1V# F";&4 D22%2,&; <1+G&A <)*=4%/># *LJB7E8JP'8JCFE#%8M#S9JNO#

SF=8<# /O# ^JA7@K# RO0O# U6d32V# *8C8>=B97# MB=?9A=# J8LCF>8;87=# :J9;# MB=?B7# <=JF=F# MB=?# LJ9HFHBCB=K# LJ9L9J=B97FC# =9# <BD8O# E"1+/)4 ": ,'& H"A)4 <,),%2,%$)4 <"$%&,A# j# 634# 123s 1k6O#

(8)

!"#$%&$' ()*+", # !"B$%0D%(9E%'"B,#(F(EB9&/FB!"%'# $(!01 $%"+(( ,&!&E%'#%(.%/ "&( # v8@7z# D# L9LACFJ7K>?# ;8=9@# MKN9JDK<=KMF7BF# @9<={L7K>?# B7:9J;F>`B# 9# MFJ=9|>BF>?# >8>?# L9;9>7B>DK>?#@9#L9LJFMK#@9N}F@79|>B#9<DF>9MF~#MFJ=9|>B#EC9HFC78`#CAH#|J8@7B8`#M#L9LACF>`B#`8<=# C9<9MF7B8#LJH#D#LJFM@9L9@9HB8~<=MF;B#B7NCAD`B#LB8JM<D8E9#JD{@A#LJ9L9J>`97FC7K;B#@9#MFJ=9|>B# >8>?K# L9;9>7B>D8`O# R9@8`|>B8# =FNB8# LJ9MF@DB# @9# N97<=JAN>`B# J9D;FB=K>?# <>?8;F=M# C9<9MF7BF4# =FB>?# `FN# <>?8;F=# +F?BJB8E9P0B@DA794# bFJ=C8KFP)F94# )F9PbFJC8KFP!9>?JF7F4# *A7=8JF4# >DK# =8€# RFJ8=9O#g#7B7B8`<DK;#FJ=KNAC8#DHF@F79#8;LBJK>D7B84#`FN#DF<=9<9MF7B8#9<=F=7B8E9#D#MK;B87B97K>?# <>?8;F=M#C9<9MF7BF#LJHK#ML}K7B8#7F#M}F<79|>B#<=9>?F<=K>D78#ADK<NBMF7K>?#9<DF>9MF~#B778E9# LFJF;8=JA4#F#;BF79MB>B8#NMF7=KCFO# # # # #

Cytaty

Powiązane dokumenty

Rano, 3 sierpnia Niemcy wycofali się. Akcja „Burza” na terenie głogowskiej placówki AK została oficjalnie zakończona. „Sewer” zebrał cały oddział i, stając na jego

The quality of (water level) forecasts is assessed based on standard deviation of model error. The results are compara- tively presented for different lead times in Fig. It can

Na moment tak krótki, że nie mogę go rozpoznać, zagląda mi w twarz, widzę tylko ciemny cień głowy przechylający się przez moje ramię, i cofa się zaraz, spłoszony, a może

w Instytucie Historii Uni- wersytetu Łódzkiego odbyła się konferencja Mity i stereotypy w dziejach Polski i Ukrainy w XIX iXX wieku, zorganizowana przez.. Interdyscyplinarny

Pozwalamy sobie wyrazić podziękowania Autorom poszczególnych artykułów za przyjęcie zaproszenia do dyskursu na łamach Trzeciego Numeru Przeglądu Naukowo-Metodycznego

Interest points from an image pair will likely cover some common world points in the scene, so that comparison of local features computed at the interest points will yield a set

In the present work, a new form of high resolution central schemes, originally developed for compressible flow computations, was successfully applied to the problem of three phase

Y — number of articles inspected when the fc-th defective is found... On the Estimation of the Fraction Defective in Curtailed Sampling... The first control is realized by a