Understanding the size os this class of aleatory events
$begingroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
asked Jan 8 at 19:17
LinkmanLinkman
1246
$endgroup$
add a comment |
$begingroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
asked Jan 8 at 19:17
LinkmanLinkman
1246
$endgroup$
add a comment |
$begingroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
asked Jan 8 at 19:17
LinkmanLinkman
1246
$endgroup$
Hi I am having problems to understand this:
I have:
$Omega = [0,1]$ , $Lambda =$ all subsets with defined length
Let $A_{0}$ = {A $subset$ [0,1]: A is finite union of intervals}
1º: My doubt is that $A_{0}$ is a algebra but its not a sigma algebra. Why?
Also,
A = $(0,1/2) cup (1/2,3/4) cup (3/4,7/8) cup ... cup(1-1/2^{n},1-1/2^{n+1})...$
2º: So the class of aleatory events would be bigger than $A_{0}$ . Why?
How the set A is greater than $A_{0}$?
measure-theory
measure-theory
asked Jan 8 at 19:17
LinkmanLinkman
1246
asked Jan 8 at 19:17
LinkmanLinkman
1246
asked Jan 8 at 19:17
LinkmanLinkman
1246
asked Jan 8 at 19:17
LinkmanLinkman
1246
asked Jan 8 at 19:17
LinkmanLinkman
1246
1246
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3066606%2funderstanding-the-size-os-this-class-of-aleatory-events%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3066606%2funderstanding-the-size-os-this-class-of-aleatory-events%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
