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I am indebted to Dr. Agata Boraty´ nska of Warsaw University for point- ing out an error in the proof of the Theorem in the above paper.

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APPLICATIONES MATHEMATICAE 23,4 (1996), p. 475

R. Z I E L I ´ N S K I (Warszawa)

Correction to

“ESTIMATING MEDIAN AND OTHER QUANTILES IN NONPARAMETRIC MODELS”

(Applicationes Math. 23 (3) (1995), 363–370)

I am indebted to Dr. Agata Boraty´ nska of Warsaw University for point- ing out an error in the proof of the Theorem in the above paper.

The formula C

1

(ε) %

12

as ε & 0 in the middle of page 365 should be replaced by

C

1

(ε) % 1 2 − 1

2

2n n

  1 2



2n

as ε & 0.

As consequences, the inequality C

1

(ε) >

12

−

12 2nn



1

2



2n

should read C

1

(ε) > 1

2 − 3 4

2n n

  1 2



2n

and the inequality C

2

(ε) >

12 2nn



1

2



2n

should read C

2

(ε) > 3

4

2n n

  1 2



2n

. The Theorem remains valid as stated.

[475]

Cytaty

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