Moment Generating Functions of Observed Gaps between Hypopnea Using Saddlepoint Approximations
Saddlepoint approximations is one of the tools to obtain
an expressions for densities and distribution functions. We approximate
the densities of the observed gaps between the hypopnea events
using the Huzurbazar saddlepoint approximation. We demonstrate the
density of a maximum likelihood estimator in exponential families.
[1] Malhotra, A. & White, DP. (2002). Obstructive sleep apnea, Lancet 360,
237-45
[2] Black J.( 2003) Sleepiness and residual sleeponess in adults with obstructive
sleep apnea. Respiratory Physiology & Neurobiology, 136, 211-220
[3] Hogg R.V. and Tanis E.A. ,Probability and Statistical Inference New
York: Macmillan Publishing,1977
[4] Huzurbazar A.,Flowgraph Models for Multistate Time-to-Event Data
,New York:John Wiley & Sons,2004
[5] Cox D.R., Renewal Theory . London:Methuen and Co., 1962
[6] Balakrishnan,N. & Mi, J.(2003) Existence and uniqueness of the MLEs
for normal distribution based on general progressively Type-II censored
samples Statistics & Probability Letters, 64(4), 407-414
[7] Huzurbazar, S. (1999) Practical Saddlepoint Approximations The American
Statistician, 53(3),pp 225-232
[1] Malhotra, A. & White, DP. (2002). Obstructive sleep apnea, Lancet 360,
237-45
[2] Black J.( 2003) Sleepiness and residual sleeponess in adults with obstructive
sleep apnea. Respiratory Physiology & Neurobiology, 136, 211-220
[3] Hogg R.V. and Tanis E.A. ,Probability and Statistical Inference New
York: Macmillan Publishing,1977
[4] Huzurbazar A.,Flowgraph Models for Multistate Time-to-Event Data
,New York:John Wiley & Sons,2004
[5] Cox D.R., Renewal Theory . London:Methuen and Co., 1962
[6] Balakrishnan,N. & Mi, J.(2003) Existence and uniqueness of the MLEs
for normal distribution based on general progressively Type-II censored
samples Statistics & Probability Letters, 64(4), 407-414
[7] Huzurbazar, S. (1999) Practical Saddlepoint Approximations The American
Statistician, 53(3),pp 225-232
@article{"International Journal of Engineering, Mathematical and Physical Sciences:56857", author = "Nur Zakiah Mohd Saat and Abdul Aziz Jemain", title = "Moment Generating Functions of Observed Gaps between Hypopnea Using Saddlepoint Approximations", abstract = "Saddlepoint approximations is one of the tools to obtain
an expressions for densities and distribution functions. We approximate
the densities of the observed gaps between the hypopnea events
using the Huzurbazar saddlepoint approximation. We demonstrate the
density of a maximum likelihood estimator in exponential families.", keywords = "Exponential, maximum likehood estimators, observed gap, Saddlepoint approximations.", volume = "2", number = "2", pages = "109-6", }