Need formula for a bell curve

Hi, I am a professional Signal Processing Engineer and deal with Probability and Statistics on a daily basis. What you need is actually a generalized Gaussian curve to meet your requirements. I will build a function with the variables you mentioned. However, there are a few technical problems: For example, do you mean the curve to represent a "Probability Distribution Function"? if so, then the area under the curve has to be one and this means that the variables you need cannot be independent and cannot be changed at your will (The degree of freedom is less). If it is not a PDF, then it is OK. And second is you do not care about the width of the bell curve (its standard deviation??) I will give you a matlab code which you can run yourself and test to see the behavior of the curve which matlab plots. Bests, ArmanEngineer

Hi. I am sure I can do this. The bell curve is one of the cases of normal distribution - so we can find formula with your input variables without serious problems. Regards, Vova

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PhD. Large experience in research and complex phenomena simulations. I will be glad to help you. Please send a message back to establish the details.

Hello! I think, that I can help you. I understand your requirements. For these input variables I must provide you a formula of shape of curve. When is your deadline?

My Background: Manager, Designs. Signal Processing Expert. Implemented many mathematical algorithms in MATLAB. I understand your requirements. Bell curve is basically a Gaussian distribution curve. By varying the sigma value, you can achieve the required curve. I've already worked with Gaussian distribution curve for generating random noise values for testing communication algorithm WiMAX 802.16D. I will need more information on how you want the outputs controlled using other inputs, we can work an algorithm for that. Please visit my profile for complete list of my work. I believe i have the right expertise to deliver a quality project. Please let me know if you have any queries, i will be happy to answer. Looking forward to working with you in this project. Best Regards, Venkat

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i am good at maths -roght from scool to engineering graudation, i have been consistently scoring above 95%. and also having experience in working with normal distribution for statistical sampling

A Bell curve is essentially an inverse parabola converging to an absolute x-offset hyperbole in simplest form, assuming it is bilateral symmetric (as opposed to skewed). You will need some more inputs definitely, for instance the points defied on your example graph controls the start and end of intersecting, but how about the incline/decline slopes. Your example shows a very flat table-top-like maximum at x=600 but the slope might be much more gradual or sharper to the centre. I would suggest adding a slope or acceleration at least, or maybe adding a two-step descriptor such as an attack angle (early ascent from the base) and regress or release factor (i.e. how close to the top point do we "level out", if at all...). Also when you say you need a formula for it, I assume you mean a parameter function f(x,p1,p2,p3,...)=p1x+p2x-...etc. whereby plotting it along an axis is possible? If so, possibly a scale factor might be useful. Have a great day! Ryan

Absolutely trivial. Probably you need variable to define sharpness of transitions, probably two to define sharpness of transition from low to high and from high to low if it's differs.

Hi: I have a masters degree in civil engineering. I have few questions: Do you need the program or just formula? I can design a macro-based Excel that can plot the bell curve based on your input parameters. You want to control the curve with the help of 4 input parameters. I would be happy to discuss your requirement in more detail. Please connect with me.