APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRYAppl. Stochastic Models Bus. Ind. 2009; 25:506–507Published online 9 June 2009 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/asmb.791

ERRATUM

Maximum likelihood estimators of clock offset and skewunder exponential delays

Jun Li and Daniel R. Jeske∗,†

University of California, Riverside, CA 92521

The article was published online on the 28th April. The following errors were subsequentlyidentified:

(1) P. 4, formula (2): Change ‘�2n’ in the denominator to ‘�n’.(2) P. 5, formula (3): Change ‘�2n’ in the denominator to ‘�n’.(3) P. 5, formula (4): Add ‘�’ to the numerator. The correct outcome for the first line of the

formula should be ‘L p(�,�1,�2)=(

(n/e)2�[∑ni=1(T

1i −�T 0

i −�1)][∑n

i=1(�T3i −T 2

i −�2)])’

(4) P. 5, formula (5): Similar to (3), add ‘�’ to the numerator.(5) P. 6, line 3: Add ‘− log�’ right after ‘log(

∑ni=1(�T

3i −T 2

i −min(�T 3i −T 2

i )))’.(6) P. 7, line 12: Do the same thing as (5), i.e. add ‘− log�’ right after

log

(n∑

i−1(�T 3

i −T 2i −min(�T 3

i −T 2i ))

)

(7) P. 7, line 15: Add ‘minus log�’ right after ‘these two sums’(8) P. 8, line 3: Change the formula to

2log

[n∑

i=1(T 1

i −�T 0i −min(T 1

i −�T 0i ))+

n∑i=1

(�T 3i −T 2

i −min(�T 3i −T 2

i ))

]− log�

(9) P. 7, line 16 to P. 8, line 1: Replace ‘To understand this a little more clearly’ by ‘Incontrast’, and delete ‘further’ between ‘if we were to’ and ‘assume equal mean’.

(10) P. 8, line 4 to line 6: Delete the whole sentence from ‘As we can see here, the MLE’ to‘the logarithm operation’.

∗Correspondence to: Daniel R. Jeske†E-mail: daniel.jeske@ucr.edu

Copyright q 2009 John Wiley & Sons, Ltd.

ERRATUM 507

(11) P. 13, line 11: Add ‘u’ to the numerator. The correct outcome for the first line of theformula should be

L p(u)

((n/e)2u[∑n

i=1(T1i −uT 0

i −min(T 1i −uT 0

i ))][∑n

i=1(uT3i −T 2

i −min(uT 3i −T 2

i ))])

Copyright q 2009 John Wiley & Sons, Ltd. Appl. Stochastic Models Bus. Ind. 2009; 25:506–507