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2014-06-17
Very versatile software for editing (specifically filling in) PDF documents. I looked specifically for software to fill out tax forms and PDFfiller exceeded my hopes and expectations. Good job.
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Simple tool that increases productivity in office I'm a software engineer and have to deal with many documents everyday. Having a simple tool that has all the features needed for me to edit and handle all my documents makes my life easier. At the same time it saves me time to look up new tools and ways everyday. The UI is simple and intuitive, and it's easy to attach files, download and share it as needed. Overall it makes me more productive in office. My favourite feature is the electronic/digital signature feature. As a person in the IT department, I have to work with numerous documents and sign many of them. And this tool made that really easy for me. Also, the signature looks blended out and not out of place. Other than that the merging tool and conversion tool are also very helpful. Depending on my needs, sometimes I can convert a ppt into a pdf for easy access or for sending it to anyone. I also get to attach different pdfs together in whatever order needed. I don't have any major concerns. The only small problem I've had is regarding character recognition from scanned pdfs. Sometimes it is not entirely accurate. Though it is manageable for me.
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2022-09-29
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2020-08-24

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Complete Statistic Log: easy document editing

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Definition: A statistic T is called complete if E[g(T)]=0 for all and some function g implies that P(g(T)=0)=1 for all.
It is easy to see that if f(t) is a one to one function and T is a sufficient statistic, then f(T) is a sufficient statistic. In particular, we can multiply a sufficient statistic by a nonzero constant and get another sufficient statistic.
Sufficiency pertains to data reduction, not merely estimation. A sufficient statistic need not estimate anything. For example, if X1,In are did samples drawn from an exponential distribution with unknown mean, then X is sufficient for, but so is (X1++Xn1,In).
x is a sufficient statistic if it retains all the information about the population mean that was contained in the original data points. According to statistician Ronald Fisher, no other statistic that can be calculated from the same sample provides any additional information as to the value of the parameter.
A sufficient statistic T : X T is minimal sufficient if for any sufficient statistic U : X U there is a measurable function g : UT such that T = g(U) ex|(· |)-a.s. for all .
In particular, a statistic is sufficient for a family of probability distributions if the sample from which it is calculated gives no additional information than does the statistic, as to which of those probability distributions is that of the population from which the sample was taken.
The minimal sufficient statistic is not unique. But, the minimal sufficient partition is unique. {1+(yo )2}. The ratio is a constant function of if T(Y n)=(Y(1), ×··, Y(n)).
If both T and S are minimal sufficient statistics, then by definition there is a one-to-one function such that T = (S). Hence, the minimal sufficient statistic is unique in the sense that two statistics that are functions of each other can be treated as one statistic.

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