Maximum likelihood estimators of clock offset and skew under exponential delays
Transcript of Maximum likelihood estimators of clock offset and skew under exponential delays
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