Order Estimates for the Exact Lugannani-Rice Expansion

التفاصيل البيبلوغرافية
العنوان: Order Estimates for the Exact Lugannani-Rice Expansion
المؤلفون: Kato, Takashi, Sekine, Jun, Yoshikawa, Kenichi
المصدر: Japan Journal of Industrial and Applied Mathematics, Vol.33(1), pp.25-61, 2016
سنة النشر: 2013
المجموعة: Mathematics
Quantitative Finance
مصطلحات موضوعية: Quantitative Finance - Computational Finance, Mathematics - Probability
الوصف: The Lugannani-Rice formula is a saddlepoint approximation method for estimating the tail probability distribution function, which was originally studied for the sum of independent identically distributed random variables. Because of its tractability, the formula is now widely used in practical financial engineering as an approximation formula for the distribution of a (single) random variable. In this paper, the Lugannani-Rice approximation formula is derived for a general, parametrized sequence of random variables and the order estimates of the approximation are given.
Comment: 32 pages, 9 figures
نوع الوثيقة: Working Paper
DOI: 10.1007/s13160-015-0199-z
URL الوصول: http://arxiv.org/abs/1310.3347
رقم الأكسشن: edsarx.1310.3347
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s13160-015-0199-z