If are independent and identically distributed random variables, each with a standard Cauchy distribution, then the sample mean has the same standard Cauchy distribution ( the sample median, which is not affected by extreme values, can be used as a measure of central tendency ).

If not, the null hypothesis is supported ( or, more correctly, not rejected ), meaning no effect of the independent variable ( s ) was observed on the dependent variable ( s ).

The evidence was compiled by W de Sitter ( 1927 ) who wrote " If we accept this hypothesis, then the ' astronomical time ', given by the earth's rotation, and used in all practical astronomical computations, differs from the ' uniform ' or ' Newtonian ' time, which is defined as the independent variable of the equations of celestial mechanics ".

If each of the features makes an independent contribution to the output, then algorithms based on linear functions ( e. g., linear regression, logistic regression, Support Vector Machines, naive Bayes ) and distance functions ( e. g., nearest neighbor methods, support vector machines with Gaussian kernels ) generally perform well.

If the trend continues, more than half the forest that existed when Papua New Guinea became independent from Australia in 1975 will be gone by 2021.

If the latter option were to win, a separate referendum would be held where Puerto Ricans would have been given the option of being admitted as a US State " on equal footing with the other states ", or becoming a " sovereign nation, either fully independent from or in free association with the United States.

* If two cards are drawn with replacement from a deck of cards, the event of drawing a red card on the first trial and that of drawing a red card on the second trial are independent.

If two events A and B are independent, then the conditional probability of A given B is the same as the unconditional ( or marginal ) probability of A, that is,

At least two assumptions are necessary for the validity of the standard model: first, that supply and demand are independent ; and second, that supply is " constrained by a fixed resource "; If these conditions do not hold, then the Marshallian model cannot be sustained.

If some supporters articulate that they agree to the independence of Taiwan, they may either be referring to the notion of formally creating an independent Republic of Taiwan, or to the notion that Taiwan is synonymous with the current Republic of China and already is independent, which is against the People's Republic of China's claim.

If the y < sub > i </ sub > are independent and identically distributed, but not necessarily normally distributed, then

If accepted Quebec would become an independent country with an economic association with Canada.

If they are describing experiments or calculations, they must supply enough details that an independent researcher could repeat the experiment or calculation to verify the results.

If there are a number of independent random samples, then the joint log-likelihood will be the sum of individual log-likelihoods, and the derivative of this sum will be a sum of derivatives of each individual log-likelihood:

If X and Y are normally distributed and independent, this implies they are " jointly normally distributed ", i. e., the pair ( X, Y ) must have multivariate normal distribution.

If the person requested to testify ( deponent ) is a party to the lawsuit or someone who works for an involved party, notice of time and place of the examination before trial can be given to the other side's attorney, but if the witness is an independent third party, a subpoena must be served on him / her if he / she is recalcitrant.

If not already part of a group medical practice, physicians may contract with an independent practice association ( IPA ), which in turn contracts with the HMO.

If too many jobs must be done by hand and there is a shortage of labour compared with independent resources that free labour could take up (" land ", although this condition is not clear in the story ), a market for slavery develops.

Another watchword: " If your mother tells you she loves you, check it out with two independent sources.

If the derivatives are either constant or depend only on the values of the independent variable, the model is linear in the parameters.

* If each cylinder was rigidly mounted to the chassis, it would provide fully independent suspension, but it is not rigidly mounted.

If this political location could be overthrown, the army would have enough power to " veto anyone else's control of the state, negotiate for Cuernavaca or attack it directly, and maintain independent access to Mexico City as well as escape routes to the southern hills.

For Frye, this kind of coherent, critical integrity involves claiming a body of knowledge for criticism that, while independent of literature, is yet constrained by it: " If criticism exists ," he declares, " it must be an examination of literature in terms of a conceptual framework derivable from an inductive survey of the literary field " itself ( Anatomy 7 ).

If it weren't for the smart-funny twist she gives to her lines — they're the best in the film — the air on that bus would have been stifling ... she emerges as a slightly softer version of the Linda Hamilton-Sigourney Weaver heroines: capable, independent, but still irresistibly vulnerable ".

If you elect to use the Standard Deduction or the Tax Table, and later find you should have itemized your deductions, you may do so by filing an amended return within the time prescribed for filing a claim for refund.

If your child is under 19 or is a student you may also claim an exemption for him if he qualifies as your dependent, even though he earns $600 or more.

If a litigant chooses to enforce a Federal right in a State court, he cannot be heard to object if he is treated exactly as are plaintiffs who press like claims arising under State law with regard to the form in which the claim must be stated -- the particularity, for instance, with which a cause of action must be described.

If the transferor has substantial assets other than the claim, it seems reasonable to assume no corporation would be willing to acquire all of its properties in the dim hope of collecting a claim for refund of taxes.

If such an unlikely transaction were to take place, it would more logically be accomplished by a stock purchase, followed by the prosecution of the claim by the wholly-owned subsidiary, followed by liquidation.

If my poor talents can be useful in any other land, they must be of some utility to Italy ; and ought not her claim to be preferred to all others?

If through lack of issue, marriage or both, eventually only one person represents the claims of all the sisters, he or she can claim the dignity as a matter of right, and the abeyance is said to be terminated.

If the claim is unopposed, the Committee will generally award the claim, unless there is evidence of collusion, the peerage has been in abeyance for more than a century, or the petitioner holds less than one-third of the claim.

In response to Lord Chalfont's claim in that the Soviet Union was giving the European peace movement £ 100 million a year, Bruce Kent said, " If they were, it was certainly not getting to our grotty little office in Finsbury Park.

* If the defence scores on a safety ( bringing the ball down in the offence's own end zone ), they have the right to claim possession.

If such proof is established, Denmark will claim the North Pole.

If a player meets the prerequisite for a wonder, they may claim the wonder for themselves.

To show that the claim " If a is a philosopher then a is a scholar " is false, one would show there is some philosopher who is not a scholar.

If a person makes the statement " Hello, my name is John Doe " they are making a claim of who they are.

If the inhabitants of Palestine were ready for independence under a Class “ A ” mandate, then the Palestinian Arabs that made up the majority of the inhabitants of Palestine in 1922 ( 589. 177 Arabs vs. 83. 790 Jews ) could then logically claim that they were the intended beneficiaries of the “ Mandate for Palestine ” – provided one never reads the actual wording of the document:

If accepted, such a claim gives the claimant state rights to what may be on or beneath the sea bottom within the claimed zone.

If the vice president and Cabinet contest this claim, it is up to Congress, which must meet within two days if not already in session, to decide the merit of the claim.

If they cannot, its claim may be dismissed without any need for a response by other parties.

If the thing could not be recovered, the plaintiff could claim damages from the defendant with the aid of the condictio furtiva ( a personal action ).

If all else failed, a besieger could claim the booty of his conquest undamaged, and retain his men and equipment intact, for the price of a well-placed bribe to a disgruntled gate-keeper.

If the " people " are unanimous in their desire for self-determination, it strengthens their claim.