Estimation Definition and 181 Threads

L(x_1,x_2,...,x_n;\theta)=\Pi _{i=1}^n (\frac{\theta}{2})^x (1-\frac{\theta}{2})^{1-x} = (\frac{\theta}{2})^{\Sigma^n_{i=1}x_i}(1-frac{\theta}{2})^{n-\Sigma^n_{i=1}x_i} Correct so far if f(x) = (\frac{\theta}{2})^x (1-\frac{\theta}{2})^{1-x} ? lnL(x_1,x_2,...,x_n;\theta) =...

Homework Statement Find the maximum error in approximating cos(x) by its Taylor polynomial of order 2 on the interval [ −.25, .25]. Justify your answer using the Remainder Estimation Theorem. Homework Equations |R3(x)<=M/3! |x|^3 The Attempt at a Solution |R3(x)<=M/3! |x|^3...

Is parameter estimation in DSP concerned with things such as bit error rates, maximum likelihood detection etc ... ? If not, can someone point me in the right direction so I can find some learning material. thanks

Homework Statement I'm doing a report for a physics lab experiment where we are calculating the radius of the Earth by measuring the time it takes to see the sunset from the base of a cliff looking out into the pacific ocean till when it sets in relation to an observer at the top of the...

Hi, I have a multivariate linear-gaussian model and I am trying to estaimte a particular scalar set of parameters of the model. I know how to derive the MLE in order to find the matrices A and Q (linear transfer function and covariance respectively). I take the log of the joint...

What kind of thermodynamic process is the compression of a gas when the volume varies reducing it, and the temperature increase, and there is an exchange of temperature with the exterior (the walls of the compressor are refrigerated, but I assume that the gas will increase its temperature a...

AFAIK, there are two basic type of linear regression: y=ax+b and y=a2 + bx + c But I have to do the same with the function y = asin(x)+bcos(x). Here is what I have done: We have: \begin{array}{l} \frac{{\partial L}}{{\partial a}} = 0 \frac{{\partial L}}{{\partial b}} = 0Continue...

I'm trying to solve f(t;a,b)=\int_a^b\sqrt{t-x^3}dx or find a good estimate for it. The problem is 'nice', and so various niceness assumptions apply: 0\le a\le b\le t -- and if other assumptions are needed, they probably hold. :D An example of a bad estimate would be (b-a)\sqrt{t-a^3} --...

Homework Statement Estimate \sum^{\infty}_{n=1}n^{-3/2} to within 0.01 Homework Equations \int^{\infty}_{n+1}f(x)dx\leq R_{n} \leq \int^{\infty}_{n}f(x)dx The Attempt at a Solution So my strategy was using the above formula to find Rn, where Rn = 0.01 or 1/10^2. Then that will give me the...

Homework Statement Q. Given that the population of Mumbai is about 13,000,000. Estimate the amount of tea that would be consumed by the city in a day? 2. The attempt at a solution Now at first place I could not understand why such kind of a question is given in Astronomy Olympiad...

Hello everybody, I am new here and I am not sure whether I put this question in a correct forum. If not I am sorry...anyway I hope you help me... ***** Before all: ***** TESTED: SSD METHOD DOES NOT WORK HERE SUFFICIENTLY RELIABLY. Here it is: ***** Description: ***** Imagine we...

Hi all, I have a set of samples and I would like to detect the probability distribution that best represents the data. I'm using the kolmogorov-Smirnov test to verify the goodness-of-fit for some well-known distributions, like Gamma, exponential and Weibull. Since I don't know the...

hi, i am in the final yr aerospace engg...i am trying to write a program on MATLAB to calculate the lift distribution over a wing using the numerical estimation based on the classic(prandtl) lifting line theory...however, due to my relatively limited exposure to MATLAB i am having trouble...

I have a probability distribution of the form \sum_{i=0}^n f(n,x,y). There is no closed form expression for it. I need to know if there is any method that I can use to estimate the parameters {n, x, y} given some data from the above distribution. I've tried a maximum likelihood approach, but...

Let {S(t), t=1,2,...} be a zero-mean, unit variance, second-order stationary process in R^1, and define Y(t)=S(t)+k(t-(n+1)/2), t=1,2,...,n. Then the process Y(t) is not second-order stationary process since it is contaminated with linear trend, k – degree of contamination. Define R(h)...

Homework Statement Use the Remainder Estimation Theorem to find an interval containing x=0 over which f(x) can be approximated by p(x) to three decimal-place accuracy throughout the interval. Check your answer by graphing |f(x) - p(x)| over the interval you obtained. f(x)= sinx p(x)=...

"Annie and Evelyn observe that, on average, it takes approximately 10 days for a small glass of water to completely evaporate when left outdoors. What would they estimate for the average annual precipitation on Earth?" (Answer in depth of precipitation) Here's my though process but I have a...

Dear All, I have a signal, which is a time series from measuring some quantity. The trend of the signal is decreasing. However, due to noise, the signal is fluctuating. Is there some method to get a good estimation of the gradient of the signal, i.e. the average reduction of the quantity...

Suppose I have a total population with x/y percent having a certain property q. If I take an n-number sample of this population, what is the most likely number of elements in this sample that will have property q? I want to say the fraction z/n will be as close to x/y as possible where z is...

I am new to this type of math. I need help.... Can anyone point to me to a good website where I can learn about rounding and stuff. Here is another one I am struggling with. I looked in the internet could not find one that really explains it well How to estimated 3.9 * 7.4 using...

This is regarding a problem on approximate uncertainty. How do you just calculate an approxiate uncertainty of a circle when a radius is given?

Thought this would be the most appropriate forum to ask for help Air flows through a copper inside tube and is heated by saturated steam condensing on the outside of the tube. 1. Determine the rate of heat transfer to the air at 3 different flow rates of the air (rotameter readings 10, 20...

Have been set a rather tricky question in physics, and wondered if you had any ideas on how I would go about answering it... It is based on Fermi style estimation to try and encourage one to estimate and guess, the question is... 'How many particles of ionising radiation pass through your head...

I am reading about galaxy surveys. I want to know what is shot noise ? how we estimate it into real and Fourier space ? I am basically reading astro-ph/0503603 & astro-ph/0503604. I am not able to solve exercise 4, 5, 6. I will be thankful, if anybody can provide me some reference.

ethanol 46g/mol freezes at 3.65degC density changes from 0.789g/cm-3 to 0.801g/cm-3 latent hear of fusion 8.68kJ/mol. freezing point at 1000 atm. i calculated the ansfer from an example and just want to verify if its correct. dp/dt=(dfusH)/(t*dfusV) rearanged to dt=(dp*t*dfusV)/dfusH...

I am working on a physics problem in a project to estimate fatigue life of a component. There is a cam rotating with an offset of 10mm rotating at an rpm of 230. The component is a cantilever fixed at one end is getting hit by this cam while it is rotating. The cam is at the other end of...

Hi ppl, I have an electrochemisry question. Explain why dilute sulphuric acid, rather than dilute hydrochloric acid, is used as a source of hydrogen ions in the volumetric estimation of iron (II) ions with potassium manganate (VII).

How can I estimate the value of sqrt. of a particular no. which is not a perfect square(e.g. 125) without using the calculator? Secondly how does the Calculator solve it? Does it use logrithms? If it does how does it solve them?

Consider the following: \int _0 ^1 \sqrt{1+x^4} \mbox{ } dx = \left[ x + \frac{x^5}{2\cdot 5} - \frac{1}{2!2^2 9}x^8 + \frac{1\cdot 3}{3!2^3 13}x^{12} - \frac{1\cdot 3\cdot 5}{4!2^4 17}x^{16} +\dotsb \right] _0 ^1 According to the alternating series estimation theorem, we find...

now i get the formula I = mr^2 [n2/(n1+n2)] [(gt^2)/(2h) - 1] where m = mass of the hanging wieght; r = radius; n1 = no. of revolutions before the weight reaches the floor; n2 = no. of revolutions before the flywheel stops; t = time taken for the weight to reach the floor; h = height of...

A typical car with a dummy crashed into a wall, what is a suitable parameter for the head of the crash test dummy(with and without restraints) as a function of time? and how do i estimate the forces acting on the head in the two situations? Thanks a lot :confused: