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: [email protected]
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
