CONFIDENCE DENSITY METHOD FOR PARAMETER ESTIMATION

LI TI-PEI

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(2) : 131-142

CONFIDENCE DENSITY METHOD FOR PARAMETER ESTIMATION

LI TI-PEI

Institute of High Energy Physics, Academia Sinica

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on an analysis of the Bayesian posteriori density method and the Non-Bayesian confidence interval method for parameter estimation, the concept and a computation formula for the confidence density are introduced from the confidence interval. It is shown that the confidence density distribution is a complete description of the result of the Non-Bayesian parameter estimation and possesses a definite probability meaning. As an example to show its application, a statistical inference to the mass of a charged particle is made.

References

[1]

李惕暗，《实验的数学处理》，科学出版社(将出版).[2] M.费史，《概率论及数理统计》，王福保译，上海科学技术出版社(1962).[3] A. Mood and F, Graybill,《Introduction to the Theory of Statistics》, McGraw-Hill BookCompany,Inc., NewYork (1963). [4]中国科学院原子能研究所云南站，物理，1(1972)，57. [5]李惕陪，16580事例c粒子质量的统计推断，(1972)，未发表. [6]李惕陪，游离测量的数学拟合，(1973)，未发表. [7]中国科学院高能物理研究所三室，μ介子在氦氩混合气体中的游离能损曲线，(1974)，未发表.

[1]	MO Xiao-Hu . Unbiased χ² Estimator for Linear Function Fit Involving Correlated Data. Chinese Physics C, 2007, 31(8): 745-749.
[2]	Socolowski Jr . On the Difficulty of Comparing Theoretical and Experimental Estimates of Elliptical Flow. Chinese Physics C, 2007, 31(12): 1170-1173.
[3]	LIU Ye , GAO Yuan-Ning . An Unbiased Estimator of Poisson Statistics. Chinese Physics C, 2007, 31(7): 660-663.
[4]	CAI Xiao-Lin , WANG Xiao-Hui , WANG Zhan-Yun , SONG Pei , SHI Kang-Jie . A New KRR Parametrising Method of Superstring Models of AdS₅\otimes S¹, AdS₅\otimes S⁵and AdS₂\otimes S². Chinese Physics C, 2006, 30(12): 1156-1164.
[5]	HU Shou-Yang , FU Yuan-Yong , LU Zhong-Dao . Chemical Potential of Resonance Matter and Particle Density, Energy Density. Chinese Physics C, 2005, 29(5): 472-475.
[6]	Soojae Im , MENG Jie , ZHOU Shan-Gui , YANG Si-Chun , LONG Wen-Hui . Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions. Chinese Physics C, 2001, 25(4): 322-328.
[7]	MA Zhong-Yu , CHEN Bao-Qiu . Nuclear Structures of Low Density and Weakly Bound System. Chinese Physics C, 2000, 24(S1): 65-68.
[8]	HU HongBo , Jason Nielsen . Analytic Confidence Level Calculations Using the Likelihood Ratio and Fourier Transform. Chinese Physics C, 2000, 24(5): 445-450.
[9]	Chen Liewen , Zhang Fengshou . Density and Temperature Depdendent Symmetry Energy. Chinese Physics C, 1999, 23(12): 1197-1202.
[10]	Qian Chengde , Feng Sheng , Tong Guoliang , Wu Yigen . Electron Identification in the Measurement of MichelParameter in τ Lepton Decay. Chinese Physics C, 1998, 22(5): 388-392.
[11]	An Yu , Hu Jimin . A New Form of Nuclear Densities Suitable for Applications of Extended Thomas-Fermi Approximation. Chinese Physics C, 1996, 20(4): 324-331.
[12]	BES Collaboration . Measurement of J/ψ Resonance Parameters. Chinese Physics C, 1995, 19(8): 673-685.
[13]	ZHUANG Peng-Fei , LIU Lian-Shou . Estimate of the Maximal Energy Density and Space-Time Region of the Quark Matter in High Energy Heavy Ion Collisions. Chinese Physics C, 1991, 15(6): 535-542.
[14]	ZHENG Chun-Kai . CHARGE DENSITY DISTRIBUTIONS OF DEFORMED NUCLEI. Chinese Physics C, 1990, 14(8): 753-761.
[15]	LU Hai-Tao , Diao Hao , ZHANG Mao-Lin . A SYNTHESIS LEVEL DENSITY FORMULA. Chinese Physics C, 1988, 12(3): 396-403.
[16]	FANG Bao , XIA Ke-Ding , FU De-Ji , XU Gong-Ou . THE STUDY OF QUADRUPOLE MOMENT, OCTUPOLE TRANSITION AND TRANSITION DENSITY OF ²⁰⁸Pb 3^－STATE—— THE APPLICATION OF GENERATOR COORDINATE METHOD (GCM). Chinese Physics C, 1984, 8(4): 461-469.
[17]	HAN Ying , RUAN Tong-Ze . AN ESTIMATION OF PION YIELDS. Chinese Physics C, 1984, 8(3): 267-271.
[18]	SHEN Qing-Biao , TIAN Ye , LIU Rui-Zhe . CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca. Chinese Physics C, 1983, 7(4): 473-480.
[19]	ZHANG XI-ZHEN , FENG REN-FA , WU XI-ZHEN , ZHUO YI-ZHONG , . THE CURRENT DISTRIBUTION IN THE BACK-BENDING REGION. Chinese Physics C, 1981, 5(1): 145-148.
[20]	CHANG HSI-CHEN . LEVEL DENSITY JUST ABOVE YRAST LINE. Chinese Physics C, 1978, 2(4): 374-377.

Access

Get Citation

LI TI-PEI. CONFIDENCE DENSITY METHOD FOR PARAMETER ESTIMATION[J]. Chinese Physics C, 1978, 2(2): 131-142.

LI TI-PEI. CONFIDENCE DENSITY METHOD FOR PARAMETER ESTIMATION[J]. Chinese Physics C, 1978, 2(2): 131-142. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1977-07-18
Revised: 1900-01-01

Article Metric

Article Views(1788)
PDF Downloads(237)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

CONFIDENCE DENSITY METHOD FOR PARAMETER ESTIMATION

LI TI-PEI

Institute of High Energy Physics, Academia Sinica

Received Date: 1977-07-18
Accepted Date: 1900-01-01
Available Online: 1978-04-05

Abstract: Based on an analysis of the Bayesian posteriori density method and the Non-Bayesian confidence interval method for parameter estimation, the concept and a computation formula for the confidence density are introduced from the confidence interval. It is shown that the confidence density distribution is a complete description of the result of the Non-Bayesian parameter estimation and possesses a definite probability meaning. As an example to show its application, a statistical inference to the mass of a charged particle is made.