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Fences and Neighbors最新文献

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4. Immigration and Race Relations in Britain 4. 英国的移民和种族关系
Pub Date : 2019-05-15 DOI: 10.7591/9781501744693-005
J. Money
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引用次数: 0
3. The Political Geography of Immigration Control 3.。移民管制的政治地理
Pub Date : 2019-05-15 DOI: 10.7591/9781501744693-004
J. Money
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引用次数: 0
1. The Politics of Immigration Control 1. 移民控制的政治
Pub Date : 2019-05-15 DOI: 10.7591/9781501744693-002
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引用次数: 0
Index 指数
Pub Date : 2019-05-15 DOI: 10.7591/9781501744693-010
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引用次数: 0
5. Immigration in the French Fifth Republic 5. 法兰西第五共和国的移民
Pub Date : 2019-05-15 DOI: 10.7591/9781501744693-006
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引用次数: 0
6. Immigration Control in Australia with Kimberly Cole 6. 我是金伯利·科尔
Pub Date : 2019-05-15 DOI: 10.7591/9781501744693-007
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引用次数: 0
Frontmatter
Pub Date : 2019-05-15 DOI: 10.7591/9781501744693-fm
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引用次数: 0
2. Testing the Hypotheses 2. 检验假设
Pub Date : 1900-01-01 DOI: 10.7591/9781501744693-003
The simplest kind of a testing of hypothesis is when we have two possible alternate models and based on the sample have to make a choice between them. Suppose f 0 (x) and f 1 (x) are two possible densities on R and we have an observation x. We have to make a choice between the two. The null hypothesis says that f 0 is the true density. The alternate hypothesis says that f 1 is the true density. A decision procedure has to be of the following form. A region Ω called the critical regionis picked. If x ∈ Ω we are critical of the null hypothesis and reject it in favor of the alternate. If x / ∈ Ω we accept the null hypothesis. The probability α = Ω f) (x)dx of rejecting the null hypothesis when it is true is called the type I error or size. The probability β = Ω c f 1 (x)dx of accepting the null hypothesis when it is false is called the type II error. 1 − β = Ω f 1 (x)dx which is the probability of detecting that the null hypothesis when it is really false is called the power of the test. Clearly we would like to minimize Ω f 0 (x)dx while at the same time maximizing Ω f 1 (x)dx. This procedure of accepting or rejecting the null hypothesis based on observations is called a test or a test of hypothesis. In our contest each choice of Ω provides a diffrent test for the same problem of deciding to either accept f 0 or reject it in favor of f 1. We would like both α and β to be as small as possible. Of course there is a conflict. Minimizing α suggests making Ω small and making β small on the other hand needs Ω to be large. There has to be a trade off. We cannot compare two tests that have different type I errors. If Ω 1 and Ω 2 are two different tests with the same size Ω 1 is called more powerful than Ω 2 if Ω 1 f 2 (x)dx ≥ Ω 2 f 2 (x)dx while α = Ω 1 f 1 (x)dx = Ω 2 f 1 (x)dx A test Ω of size α is said to be most powerful if it is more powerful than any other …
最简单的假设检验是当我们有两个可能的备选模型时根据样本,我们必须在它们之间做出选择。假设f0 (x)和f1 (x)是R上两个可能的密度,我们有一个观测值x,我们必须在两者之间做出选择。零假设说f0是真正的密度。另一个假设是f1是真实密度。一个决定程序必须是以下形式。一个区域Ω被称为关键区域。如果x∈Ω,我们对零假设持批评态度,并拒绝它,支持备用假设。如果x /∈Ω,我们接受零假设。当零假设为真时,拒绝零假设的概率α = Ω f) (x)dx被称为I型误差或大小。当零假设为假时,接受零假设的概率β = Ω c f1 (x)dx被称为II型错误。1−β = Ω f 1 (x)dx,这是检测到零假设确实是错误的概率,称为检验的功率。显然我们想最小化Ω f 0 (x)dx同时最大化Ω f 1 (x)dx。这种根据观察结果接受或拒绝零假设的过程称为检验或假设检验。在我们的竞赛中,对于决定接受f 0还是拒绝f 1的相同问题,选择Ω提供了不同的测试。我们希望α和β都尽可能小。当然存在冲突。最小化α意味着使Ω变小,而使β变小则需要Ω变大。这是需要权衡的。我们不能比较具有不同类型I错误的两个测试。如果Ω1和2Ω是两个不同的测试具有相同大小1Ω叫做更强大的比Ω2如果Ω1 f (x) dx≥2Ω2 f (x) dx时,α= 1Ω1 f (x) dx = 1Ω2 f (x) dxα测试Ω大小据说是最强大的如果它比任何其他更强大的…
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引用次数: 0
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Fences and Neighbors
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