To follow on Jeff, is there a function to do 2-D (double) numerical integration 
in R?

Bernard
Sent from my iPhone so please excuse the spelling!"

> On Mar 27, 2019, at 6:38 PM, Jeff Newmiller <jdnew...@dcn.davis.ca.us> wrote:
> 
> Regardless of how many dimensions you have for independent variables, the 
> density is one-dimensional, and if you assume the density function has been 
> determined (e.g. by kernel estimation or by a Gaussian copula) then if you 
> integrate the density function along that dimension there will be unique 
> slices of the multivariate input domain determined by those slices. They 
> might in general be disjoint regions of the independent variable space, but 
> that is what the contour function does.
> 
> I am not seeing your point, Bert, unless you are unwilling to assume a 
> density function model?
> 
>> On March 27, 2019 2:18:18 PM PDT, Bert Gunter <bgunter.4...@gmail.com> wrote:
>> You are missing a crucial point. The reals are well ordered; higher
>> dimensions are not. Therefore 2d quantile contours are not unique.
>> 
>> Of course assuming I understand your query correctly.
>> 
>> 
>> Bert
>> 
>> On Wed, Mar 27, 2019, 13:55 Bernard McGarvey
>> <mcgarvey.bern...@comcast.net>
>> wrote:
>> 
>>> If I understand correctly the ContourLines function gives you the
>> contour
>>> lines when you put in the data. But before this I need to data to put
>> into
>>> that function. I think this is something like a 2D CDF of the data
>> that
>>> then leads to the 2D quantiles but I am not 100% sure. What I am
>> basically
>>> looking for is the 2D curve that encloses say 95% of the data in a
>> similar
>>> fashion to a 1D quantile where the quantile represents the value that
>> x% of
>>> the data is below. I think what I am looking for is the 2D bivariate
>>> version of the 1D quantile plot (where the quantile value is plotted
>> vs the
>>> % value).
>>> 
>>> I hope this makes some sense.
>>> 
>>> Bernard McGarvey
>>> 
>>> 
>>> Director, Fort Myers Beach Lions Foundation, Inc.
>>> 
>>> 
>>> Retired (Lilly Engineering Fellow).
>>> 
>>> 
>>>> On March 27, 2019 at 3:57 PM Paul Murrell
>> <p...@stat.auckland.ac.nz>
>>> wrote:
>>>> 
>>>> 
>>>> 
>>>> Are you looking for the contourLines() function ?
>>>> 
>>>> Paul
>>>> 
>>>>> On 28/03/19 8:37 AM, Bernard McGarvey wrote:
>>>>> John, I have attached a pdf of the plot. Hopefully you can read
>> this.
>>>>> 
>>>>> If I understand correctly, this plot is basically the 2-D version
>> of
>>> the 1-D quantile plot.
>>>>> 
>>>>> Thanks
>>>>> 
>>>>> Bernard McGarvey
>>>>> 
>>>>> 
>>>>> Director, Fort Myers Beach Lions Foundation, Inc.
>>>>> 
>>>>> 
>>>>> Retired (Lilly Engineering Fellow).
>>>>> 
>>>>> 
>>>>>> On March 27, 2019 at 7:44 AM John Kane <jrkrid...@gmail.com>
>> wrote:
>>>>>> 
>>>>>> 
>>>>>> The figure did not get  through. Perhaps try a pdf?
>>>>>> 
>>>>>> On Tue, 26 Mar 2019 at 13:41, Bernard McGarvey
>>>>>> <mcgarvey.bern...@comcast.net> wrote:
>>>>>>> 
>>>>>>> I want to see if I can reproduce the plot below in R. If I
>>> understand it correctly, i takes my bivariate data and creates
>> quantile
>>> density contours. My interpretation of these contours is that they
>> enclose
>>> a certain % of the total data. I am using the bkde2D function in
>> library
>>> KernSmooth which gives density values that can be plotted on a
>> contour plot
>>> but I would like the curves that enclose a given % of the data, if
>> that is
>>> possible
>>>>>>> 
>>>>>>> 
>>>>>>> Thanks
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> Bernard McGarvey
>>>>>>> 
>>>>>>> Director, Fort Myers Beach Lions Foundation, Inc.
>>>>>>> 
>>>>>>> Retired (Lilly Engineering Fellow).
>>>>>>> 
>>>>>>> 
>>>>>>> ______________________________________________
>>>>>>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more,
>> see
>>>>>>> https://stat.ethz.ch/mailman/listinfo/r-help
>>>>>>> PLEASE do read the posting guide
>>> http://www.R-project.org/posting-guide.html
>>>>>>> and provide commented, minimal, self-contained, reproducible
>> code.
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>> --
>>>>>> John Kane
>>>>>> Kingston ON Canada
>>>>>> 
>>>>>> ______________________________________________
>>>>>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more,
>> see
>>>>>> https://stat.ethz.ch/mailman/listinfo/r-help
>>>>>> PLEASE do read the posting guide
>>> http://www.R-project.org/posting-guide.html
>>>>>> and provide commented, minimal, self-contained, reproducible
>> code.
>>>> 
>>>> --
>>>> Dr Paul Murrell
>>>> Department of Statistics
>>>> The University of Auckland
>>>> Private Bag 92019
>>>> Auckland
>>>> New Zealand
>>>> 64 9 3737599 x85392
>>>> p...@stat.auckland.ac.nz
>>>> http://www.stat.auckland.ac.nz/~paul/
>>> 
>>> ______________________________________________
>>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
>>> https://stat.ethz.ch/mailman/listinfo/r-help
>>> PLEASE do read the posting guide
>>> http://www.R-project.org/posting-guide.html
>>> and provide commented, minimal, self-contained, reproducible code.
>>> 
>> 
>>    [[alternative HTML version deleted]]
>> 
>> ______________________________________________
>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
>> https://stat.ethz.ch/mailman/listinfo/r-help
>> PLEASE do read the posting guide
>> http://www.R-project.org/posting-guide.html
>> and provide commented, minimal, self-contained, reproducible code.
> 
> -- 
> Sent from my phone. Please excuse my brevity.

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