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  • ...obability distribution of <math>H</math> and <math>W</math> is represented as a table: If it is clear from the context, write <math>p_{X}\left( x\right) </math> as <math>p\left(x\right) </math>. Suppose that <math>Y</math> takes on values
    48 KB (7,971 words) - 14:04, 10 September 2014
  • ...two other variables. Let us, here, define a random variable <math>V</math> as a function of random variables <math>X</math> and <math>Y</math>, ...\right)=y\sum\limits_{x}p\left( x,y\right) =xp_{X}\left( x\right) </math>, as <math>x</math> is constant with respect to <math>y</math> summation and <ma
    14 KB (2,391 words) - 16:22, 29 August 2013
  • ...onsidered to be sampling from a population. Here the population is defined as the totality of items that we are interested in. On the other hand, the sam ...r, we can conclude that values occurring in a population can be considered as the values of a random variable.
    16 KB (2,536 words) - 17:54, 29 August 2013
  • ...and the material in Lecture Notes 2 (Matrices - 1) or in Lecture Slides 2, as part of Econ60901 PreSession Maths. The pdf files containing this material ...s on Econ61001 Exercise Sheet 2, either on paper or online using Maple TA, as part of the PreSession Maths course. The link to this material is
    4 KB (748 words) - 15:52, 10 September 2013
  • It is well established that the IV estimator can be estimated as follows ...f{\widehat{\beta}}_{IV}</math> is of obvious interest and it is calculated as follows
    11 KB (1,718 words) - 12:01, 10 September 2013
  • In the PreSession Maths course, a matrix was defined as follows: ...riables, e.g. on the weights and heights of 12 students, can be thought of as a matrix:
    49 KB (8,168 words) - 15:15, 10 September 2013
  • ...ely available. You can go back and attempt the same question as many times as you like. ...t in the exercise sheets. The assignments are organised by question group, as in the Exercise Sheets, or by individual question - a component of the ques
    25 KB (3,997 words) - 15:41, 10 September 2013
  • ...istic''', a quantity which is a function of the data. We now consider them as functions of the '''values''' <math>x_{1},...,x_{n}</math> of the sample ra ..., the other a random variable, with a probability distribution referred to as a '''sampling distribution'''.
    22 KB (3,585 words) - 16:22, 1 October 2013
  • In the PreSession Maths course, a matrix was defined as follows: ...riables, e.g. on the weights and heights of 12 students, can be thought of as a matrix:
    49 KB (8,163 words) - 16:10, 10 September 2013
  • ...which are mutually independent and have the same probability distribution as <math>X</math>. We can construct sample statistics like <math>\bar{X}</math ...]. The (sample) correlation coefficient <math>R</math> is shown explicitly as a function of the sample covariance and the sample variances to emphasise t
    29 KB (4,613 words) - 11:42, 11 September 2014
  • ...<math>390g</math>. What is the probability of a packet weighing as little as <math>390g</math> if the machine is set correctly? Do you consider that thi
    6 KB (1,030 words) - 14:35, 16 September 2019
  • ...unknown, it is easy to fall into the trap of treating the estimated value as if it were actually the “true” population value. After all, the estimat ...rd error '''of <math>\bar{X},</math> <math>SE\left( \bar{X}\right)</math>, as a measure of sampling variability. Then, extreme values do not belong to t
    43 KB (7,036 words) - 16:56, 20 April 2020
  • <li><p>Do the confidence intervals get narrower as the sample size increases? Why would you expect this? {yes}</p></li></ol>
    4 KB (705 words) - 16:31, 16 September 2014
  • ...s that IQ tests are designed to produce test results which are distributed as <math>N\left( 100,400\right) </math>. In effect, this is equivalent to sayi ...s [[Point_Estimation#Example_2|Section]], which is supposed be distributed as <math>N\left( 20,5\right) </math>. Here, household incomes are drawings fro
    59 KB (9,814 words) - 20:18, 13 September 2014
  • ...lation at large. Having some knowledge of statistics, you set up the issue as one of hypothesis testing.</p> <li><p>What sort of costs would arise as a consequence of each type of error?</p></li>
    3 KB (562 words) - 10:59, 16 September 2014
  • As far as I am aware there is only one dedicated source that uses Python for Economet
    1 KB (211 words) - 13:04, 21 July 2014
  • ...atibility packages called ''six''.</ref>, and some legacy code exists only as Python 2. Some differences between the two versions are discussed in the fo ...The Python programming language was designed with readability in mind, and as a result forces you to indent code blocks, e.g.
    32 KB (4,840 words) - 14:37, 16 October 2013
  • ...e&quot;<ref>Here we are not talking about genuine out-of-sample forecasts, as they would forecast for time periods after <math>T</math>. ...hich case the variables <math>y</math> and <math>X</math> would be defined as follows (assuming we have 1001 observations available and <math>T=1001-1=10
    20 KB (3,229 words) - 18:55, 5 November 2013
  • ...gramming language that has (from my point of you) much the same capability as MATLAB. The disadvantage, from the perspective of an Econometrician, at thi
    1 KB (219 words) - 15:52, 29 June 2014
  • <source>import numpy as np # import modules for use import pandas as pd
    14 KB (2,154 words) - 13:04, 25 July 2014

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