A stronger classical definition of Confidence Limits
نویسنده
چکیده
A novel way of defining limits in classical statistics is proposed. This is a natural extension of the original Neyman’s method, and has the desirable property that only information relevant to the problem is used in making statistical inferences. The result is a strong restriction on the allowed confidence bands, excluding in full generality pathologies as empty confidence regions or unstable solutions. The method is completely general and directly applicable to all problems of limits.
منابع مشابه
Stronger Classical Confidence Limits
A new way of defining limits in classical statistics is presented. This is a natural extension of the original Neyman’s method, and has the desirable property that only information relevant to the problem is used in making statistical inferences. The result is a strong restriction on the allowed confidence bands, excluding in full generality pathologies as empty confidence regions or unstable s...
متن کاملOn the pointfree counterpart of the local definition of classical continuous maps
The familiar classical result that a continuous map from a space $X$ to a space $Y$ can be defined by giving continuous maps $varphi_U: U to Y$ on each member $U$ of an open cover ${mathfrak C}$ of $X$ such that $varphi_Umid U cap V = varphi_V mid U cap V$ for all $U,V in {mathfrak C}$ was recently shown to have an exact analogue in pointfree topology, and the same was done for the familiar cla...
متن کامل2 3 Ju l 2 00 1 A Logical Framework for Convergent Infinite Computations
Classical computations can not capture the essence of infinite computations very well. We will focus on a class of infinite computations called convergent infinite computations and, based on the study of the sequences of first order theories and their limits (Li, 1992), establish a logical framework for describing and analyzing how an infinite computation interacts and evolves in changing envir...
متن کاملMass Participation Factor in Defining Non-classical Range of Behavior for Mass Isolated Systems
The new techniques in seismic design of structures are usually attributed to high damping ratios. In such systems, the assumption of classical (i.e. proportional) damping is not valid and in most cases they should be considered as Non-classical systems. Since the analytical tools for studying the behavior of such structures are not easily available, the present work attempts to find the limits,...
متن کاملUnified approach to the classical statistical analysis of small signals
We give a classical confidence belt construction which unifies the treatment of upper confidence limits for null results and two-sided confidence intervals for non-null results. The unified treatment solves a problem (apparently not previously recognized) that the choice of upper limit or two-sided intervals leads to intervals which are not confidence intervals if the choice is based on the dat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999